question_answer1) A solenoid of length 0.6 m has a radius of \[1\text{ }cm\] and is made up of 600 turns. It carries a current of \[6\text{ }A\]. What is the magnitude of the magnetic field inside the solenoid?
A) \[7.54\times {{10}^{-3}}T~\] done clear
B) \[10.84\times {{10}^{-3}}\,\,T\] done clear
C) \[4.87\times {{10}^{-3}}\,\,T\] done clear
D) \[2.36\times {{10}^{-2}}\,\,T\] done clear
View Answer play_arrowquestion_answer2) The bus moving with a speed of \[42\text{ }km/h\]is brought to a stop by brakes after\[6\text{ }m\]. If the same bus is moving at a speed of \[90\text{ }km/h,\] then the minimum stopping distance is
A) \[15.48\text{ }m\] done clear
B) \[18.64\text{ }m\] done clear
C) \[22.13\text{ }m\] done clear
D) \[27.55\text{ }m\] done clear
View Answer play_arrowquestion_answer3) A \[15pF\] capacitor is connected to a \[60\text{ }V\] battery. How much electrostatic energy is stored?
A) \[2.77\times {{10}^{-8}}\,J\] done clear
B) \[1.77\times {{10}^{-8}}\,J\] done clear
C) \[2.35\times {{10}^{-8}}\,J\] done clear
D) \[1.35\times {{10}^{-8}}\,J\] done clear
View Answer play_arrowquestion_answer4) In a video signal for transmission of picture, what value of bandwidth is used " in communication system?
A) \[2.4\text{ }MHz\] done clear
B) \[4.2\text{ }MHz\] done clear
C) \[4.2\text{ }MHz\] done clear
D) \[42\text{ }MHz\] done clear
View Answer play_arrowquestion_answer5) A straight wire of mass 300 g and length \[2.5\text{ }m\]carries a current of \[3.5\text{ }A\]. It is suspended in mid-air by a uniform horizontal magnetic field B. What is the magnitude of the magnetic field?
A) \[0.654\text{ }T\] done clear
B) \[0.336\text{ }T\] done clear
C) \[1.576\text{ }T\] done clear
D) \[0.939\text{ }T\] done clear
View Answer play_arrowquestion_answer6) When longitudinal wave propagates, what happens in the region of compressions and rarefactions?
A) Density varies done clear
B) Density remains constant done clear
C) There is heat transfers done clear
D) Boyle's law is obeyed done clear
View Answer play_arrowquestion_answer7) If the temperature of the body is increased by \[10%,\] the percentage increase in the emitted indication will be
A) \[46%\] done clear
B) \[40%\] done clear
C) \[30%\] done clear
D) \[80%\] done clear
View Answer play_arrowquestion_answer8) A galaxy is moving away from an observe on the earth so that sodium light of wavelength \[5892\overset{\text{o}}{\mathop{\text{A}}}\,\] is observed at \[5896\overset{\text{o}}{\mathop{\text{A}}}\,\]. The speed of galaxy is
A) \[306\,\,km/s\] done clear
B) \[204\text{ }km/s\] done clear
C) \[185\,km/s\] done clear
D) \[158\text{ }km/s\] done clear
View Answer play_arrowquestion_answer9) The correct order of arrangement of electromagnetic waves according to their wavelength is
A) gamma rays < microwaves < AM radiowaves < FM radiowaves done clear
B) microwaves < AM radiowaves < FM radiowaves < gamma rays done clear
C) gamma rays < AM radiowaves < FM radiowaves < microwaves done clear
D) gamma rays < microwaves < FM radiowaves < AM radiowaves done clear
View Answer play_arrowquestion_answer10) A constant retarding force of \[80\text{ }N\]is applied to a body of mass \[50\text{ }kg\]which is moving initially with a speed of\[20\text{ }m/s\]. What would be the time required by the body to come to rest?
A) \[15\,\,s\] done clear
B) \[14\,\,s\] done clear
C) \[12.5\,\,s\] done clear
D) \[1\,8\,\,s\] done clear
View Answer play_arrowquestion_answer11) Light from a point source in air falls on a spherical glass surface (\[n=1.67\]and radius of curvature \[~=25\text{ }cm\]). The distance of the light source from the glass surface is \[95\text{ }cm\]. At what position, the image is formed?
A) \[75.45\text{ }cm\] done clear
B) \[90.50\text{ }cm\] done clear
C) \[105.25\text{ }cm\] done clear
D) \[99.40\text{ }cm\] done clear
View Answer play_arrowquestion_answer12) The length of the wire is increase by 2% by applying a load of\[2.5\text{ }kg-wt\]. What is the linear strain produced in the wire?
A) \[0.1\] done clear
B) \[0.01\] done clear
C) \[0.2\] done clear
D) \[0.02\] done clear
View Answer play_arrowquestion_answer13) The half life of an old rock element is 5800 years. In how many years its sample of \[25\text{ }g\]is reduced to \[6.25\text{ }g\].
A) \[2900\text{ }years\] done clear
B) \[5800\text{ }years\] done clear
C) \[11600\text{ }years\] done clear
D) \[23200\text{ }years\] done clear
View Answer play_arrowquestion_answer14) The earth takes \[24\text{ }h\]to rotate once about its axis. How much time does the sun take to shift by \[{{5}^{o}}\] when viewed from the earth?
A) \[20\text{ }min\] done clear
B) \[15\text{ }min\] done clear
C) \[10\text{ }min\] done clear
D) \[5\text{ }min\] done clear
View Answer play_arrowquestion_answer15) Which of the following is a dimension less quantity?
A) Magnetic flux density done clear
B) Electric flux density done clear
C) Lumen flux density done clear
D) Optical density done clear
View Answer play_arrowquestion_answer16) A crane lifts weight of \[75\text{ }kg\]to a height of \[15\text{ }m\] in\[15\text{ }s\]. The power of the crane is (assuming \[g=9.8\,m/{{s}^{2}}\])
A) \[635\,\,W\] done clear
B) \[735\,\,W\] done clear
C) \[835\,\,W\] done clear
D) \[1135\,\,W\] done clear
View Answer play_arrowquestion_answer17) The escape velocity from the surface of the earth is\[11.2\text{ }km{{s}^{-1}}\]. What is the escape velocity in a planet whose radius is three times that of the earth and on which the acceleration due to gravity is three times of that on the earth?
A) \[11.2\text{ }km{{s}^{-1}}\] done clear
B) \[22.4\text{ }km{{s}^{-1}}\] done clear
C) \[33.6\text{ }km{{s}^{-1}}\] done clear
D) \[5.6\text{ }km{{s}^{-1}}\] done clear
View Answer play_arrowquestion_answer18) What is the dimensional formula for Work?
A) \[[ML{{T}^{-2}}]\] done clear
B) \[[M{{L}^{2}}{{T}^{-2}}]\] done clear
C) \[[M{{L}^{3}}{{T}^{-2}}]\] done clear
D) \[[M{{L}^{2}}{{T}^{-1}}]\] done clear
View Answer play_arrowquestion_answer19) When the gas expands with temperature using the relation \[V=K{{T}^{2/3}}\] for the temperature change of \[40\text{ }K,\] the work done is
A) \[20.1\,\,R\] done clear
B) \[30.2\,\,R\] done clear
C) \[26.6\,\,R\] done clear
D) \[35.6\,\,R\] done clear
View Answer play_arrowquestion_answer20) The resonant frequency of a L-C-R circuit depends upon
A) L and R done clear
B) C and R done clear
C) L and C done clear
D) L, C and R done clear
View Answer play_arrowquestion_answer21) A wheel with 30 metallic spokes each of \[7.0\text{ }m\] long is rotated with a speed of \[120\text{ }rev/min,\] in a plane normal to the horizontal component of the earth's magnetic field Hg /at a place. If \[{{H}_{E}}=0.8G\]at the place what is the induced emf between the axis and the rim of the wheel? (Give \[1G={{10}^{-4}}\text{ }T\])
A) \[2.46\times {{10}^{-4}}V\] done clear
B) \[6.28\times {{10}^{-4}}V\] done clear
C) \[5.76\times {{10}^{-5}}V\] done clear
D) \[4.92\times {{10}^{-4}}V\] done clear
View Answer play_arrowquestion_answer22) In a circuit, 3 resistors of resistance \[1.2\Omega \]\[1.2\,\,\Omega ,\]\[2\,\,\Omega ,\] \[3\,\,\Omega ,\] are connected in parallel. The value of equivalent resistance is
A) less than \[1.2\,\Omega \] done clear
B) greater than \[1.2\,\Omega \] done clear
C) between \[1.2\,\Omega \] and \[2\,\Omega \] done clear
D) between \[2\,\Omega \] and \[3\,\Omega \] done clear
View Answer play_arrowquestion_answer23) The magnetic field is absent in which one of the following physical situation?
A) Surface of neutron star done clear
B) Surface of the earth done clear
C) Human nerve fiber done clear
D) At some point on the axis of bar magnet done clear
View Answer play_arrowquestion_answer24) What amount of energy is associated with mass of\[2.5\text{ }kg\]?
A) \[6.27\times {{10}^{17}}\,\,J\] done clear
B) \[4.27\times {{10}^{17}}J\] done clear
C) \[0.27\times {{10}^{17}}\,J\] done clear
D) \[2.27\times {{10}^{17}}\,J\] done clear
View Answer play_arrowquestion_answer25) The ratio of radii of nuclei of two atoms of element of atomic mass numbers 27 and 64 is
A) \[3:4\] done clear
B) \[4:3\] done clear
C) \[9:16\] done clear
D) \[16:9\] done clear
View Answer play_arrowquestion_answer26) MSI integrated chip contains
A) less than 10 gates done clear
B) 10 to 100 gates done clear
C) 100 to 1000 gates done clear
D) 1000 to 10000 gates done clear
View Answer play_arrowquestion_answer27) What is the torque of a force \[3\hat{i}+7\hat{j}+4\hat{k}\] about the origin, if the force acts on a particle whose position vector is \[2\hat{i}+2\hat{j}+1\hat{k}\]?
A) \[\hat{i}-5\hat{j}+8\hat{k}\] done clear
B) \[2\hat{i}+2\hat{j}+2\hat{k}\] done clear
C) \[\hat{i}+\hat{j}+\hat{k}\] done clear
D) \[3\hat{i}+2\hat{j}+3\hat{k}\] done clear
View Answer play_arrowquestion_answer28) A message signal of frequency \[20\text{ }kHz\] and peak voltage of \[15\text{ }V\]is used to modulate a carrier wave of \[1000\text{ }kHz\]and peak voltage of\[30\text{ }V\]. The modulation index and upper side band are respectively
A) \[0.50\]and \[1020\text{ }kHz\] done clear
B) \[0.66\]and \[1020\text{ }kHz\] done clear
C) \[0.50\]and \[980\text{ }kHz\] done clear
D) \[0.66\]and \[980\text{ }kHz\] done clear
View Answer play_arrowquestion_answer29) Calculate, the efficiency of the engine, if Carnot cycle operates at \[{{T}_{1}}=550\,K\] and \[{{T}_{2}}=320\,K\] producing \[2.3\text{ }kJ\]of mechanical work per cycle?
A) \[0.418\] done clear
B) \[0.622\] done clear
C) \[0.823\] done clear
D) \[0.902\] done clear
View Answer play_arrowquestion_answer30) Which of the following device is the application of photoelectric effect?
A) Light emitting diode done clear
B) Diode done clear
C) Photocell done clear
D) Transistor done clear
View Answer play_arrowquestion_answer31) The waves used for Line-of-Sight (LOS) communication are
A) ground waves done clear
B) space waves done clear
C) sound waves done clear
D) sky waves done clear
View Answer play_arrowquestion_answer32) The inductance L of a solenoid depends upon its radius R as
A) \[L\propto R\] done clear
B) \[L\propto 1/R\] done clear
C) \[L\propto {{R}^{2}}\] done clear
D) \[L\propto {{R}^{3}}\] done clear
View Answer play_arrowquestion_answer33) How much revolution does the engine make during the time when a motor wheel with angular speed is increased from \[720\text{ }rpm\]to \[2820\text{ }rpm\]in \[1,4\,s\]?
A) \[354\] done clear
B) \[490\] done clear
C) \[413\] done clear
D) \[620\] done clear
View Answer play_arrowquestion_answer34) If the pressure at half of the lake is equal to 1/3 pressure at the bottom of the lake, what is the depth of the lake? (Assume \[g=10\text{ }m/{{s}^{2}}\]and \[1\text{ }atm=1\times {{10}^{5}};\] \[\rho \]p water\[={{10}^{3}}\])
A) \[9.6\text{ }m\] done clear
B) \[7.5\text{ }m\] done clear
C) \[4.4\text{ }m\] done clear
D) \[3.2\text{ }m\] done clear
E) Not Available done clear
View Answer play_arrowquestion_answer35) The value of Rydberg constant is
A) \[1.997\times {{10}^{7}}\text{ }{{m}^{-1}}\] done clear
B) \[1.097\times {{10}^{-7}}\text{ }m\] done clear
C) \[1.097\times {{10}^{7}}{{m}^{-1}}\] done clear
D) \[19.97\times {{10}^{7}}\,{{m}^{-1}}\] done clear
View Answer play_arrowquestion_answer36) A car moving on a straight road covers \[1/3\] of the distance with \[25\text{ }km/h\] and rest with'\[75\text{ }km/h\]. The average speed is
A) \[25\text{ }km/h\] done clear
B) 45 km/h done clear
C) \[55\text{ }km/h\] done clear
D) \[~75\text{ }km/h\] done clear
View Answer play_arrowquestion_answer37) The distance at which average radius of the earth orbit subtends an angle of \[1\text{ }arc\]second is
A) parsec done clear
B) astronomical unit done clear
C) light year done clear
D) unified atomic unit done clear
View Answer play_arrowquestion_answer38) What happens to the acceleration due to gravity with the increase in altitude from the surface of the earth?
A) Increase done clear
B) Decrease done clear
C) First decrease and then increase done clear
D) Remains same done clear
View Answer play_arrowquestion_answer39) Lenz's law is a consequence of the law of conservation of.
A) charge done clear
B) mass done clear
C) momentum done clear
D) energy done clear
View Answer play_arrowquestion_answer40) The angle between the true geographic north and the north shown by a compass needle is called as
A) inclination done clear
B) magnetic declination done clear
C) angle of meridian done clear
D) magnetic pole done clear
View Answer play_arrowquestion_answer41) An air bubble of \[2\text{ }c{{m}^{3}}\]rises from the bottom of a lake of \[32\text{ }m\]at a temperature of \[{{9}^{o}}C\]. When the bubble reaches the surface of the lake from the bottom of the lake, what volume does it grows for which temperature is \[{{30}^{o}}C\](assume \[g=10m/{{s}^{2}}\]and density\[\rho ={{10}^{3}}\text{ }kg/{{m}^{3}}\])
A) \[5.937\text{ }c{{m}^{3}}\] done clear
B) \[8.937\text{ }c{{m}^{3}}\] done clear
C) \[~12.937\,\,c{{m}^{3}}\] done clear
D) \[16.937\,\,c{{m}^{3}}\] done clear
View Answer play_arrowquestion_answer42) Which quantity is transmitted with propagation of longitudinal waves through a medium?
A) Dispersion done clear
B) Energy done clear
C) Matter done clear
D) Frequency done clear
View Answer play_arrowquestion_answer43) A monochromatic light of frequency \[3\times {{10}^{14}}\,\,Hz\] is produced by a Laser, emits the power of \[3\times {{10}^{-3}}W\]. Find, how many number of photons are emitted per second
A) \[1.5\times {{10}^{16}}\] done clear
B) \[2.5\times {{10}^{16}}\] done clear
C) \[4.5\times {{10}^{16}}\] done clear
D) \[8.5\times {{10}^{16}}\] done clear
View Answer play_arrowquestion_answer44) A mountaineer standing on the edge of a cliff \[441\,\,m\]above the ground throws a stone horizontally with an initial speed of \[20\text{ }m/s\]. What is the speed with which the stone reaches the ground?
A) \[90\text{ }m/s\] done clear
B) \[95.08\text{ }m/s\] done clear
C) \[85\text{ }m/s\] done clear
D) \[92\text{ }m/s\] done clear
View Answer play_arrowquestion_answer45) A zener diode is used as
A) an amplifier done clear
B) a rectifier done clear
C) a voltage regulator done clear
D) a light emitting device done clear
View Answer play_arrowquestion_answer46) In which of the following does the intensity of sound vary with time?
A) Doppler effect done clear
B) Beats done clear
C) Transverse waves done clear
D) Longitudinal waves done clear
View Answer play_arrowquestion_answer47) A solid cylindrical of mass \[30\text{ }kg\]rotates about its axis with an angular speed of \[50\text{ }rad/s\]. What is the KE associated with the rotation of the cylinder,(if the radius of the cylinder is\[0.30\,\,m\]?
A) \[1500.5\text{ }J\] done clear
B) \[1687.5\text{ }J\] done clear
C) \[2000.7\text{ }J~\] done clear
D) \[1350.0\text{ }J\] done clear
View Answer play_arrowquestion_answer48) The circuits that make rippled AC to pure DC are known as
A) DC converters done clear
B) junction diodes done clear
C) bipolar transistors done clear
D) filters done clear
View Answer play_arrowquestion_answer49) A string of mass \[3\text{ }kg\]is under tension of\[400\text{ }N\] The length of the stretched string is \[25\text{ }cm\]. If the transverse jerk is stuck at one end of the string' how long does the disturbance take to reach the other end?
A) \[0.047\,\,s\] done clear
B) \[0.055\,\,s\] done clear
C) \[0.034\text{ }s\] done clear
D) \[0.065\text{ }s\] done clear
View Answer play_arrowquestion_answer50) The total energy of an electron in 4th orbit of hydrogen atom is
A) \[-13.6\,\,eV\] done clear
B) \[-3.4\,\,eV\] done clear
C) \[-1.51\,\,eV\] done clear
D) \[-0.85\,\,eV\] done clear
View Answer play_arrowquestion_answer51) The graph between voltage and current across a conductor that follows Ohm's law is
A) straight line done clear
B) parabolic done clear
C) sine-curve done clear
D) cos-curve done clear
View Answer play_arrowquestion_answer52) An athlete throws the shot-put of mass \[4\text{ }kg\]with initial speed of \[2.2\text{ }m{{s}^{-1}}\] at \[{{41}^{o}}\] from a height of \[1.3\text{ }m\]from the ground. What is the KE of the shot-put when it reaches the ground? (Ignoring the air resistance and gravity \[g=9.8m/{{s}^{2}}\])
A) \[42.84\text{ }J\] done clear
B) \[52.84\text{ }J\] done clear
C) \[62.84\text{ }J\] done clear
D) \[72.84\text{ }J\] done clear
View Answer play_arrowquestion_answer53) Two bulbs operating on standard voltage \[110V\] have resistances in the ratio\[9:16\]. The ratio of brightness of light from them is
A) \[9:16\] done clear
B) \[16:9\] done clear
C) \[3:4\] done clear
D) \[4:3\] done clear
View Answer play_arrowquestion_answer54) The neutral point on potentiometer's scale for two cells of EMF \[2.1\] and E volts is observed at distances \[40\text{ }cm\]and \[56\text{ }cm\]respectively. The value of E is
A) \[2.10\,\,V\] done clear
B) \[2.94\,\,V\] done clear
C) \[1.50\,\,V\] done clear
D) \[~1.20\,\,V\] done clear
View Answer play_arrowquestion_answer55) Which one of the following equation is Torricelli law?
A) \[P=\rho gh\] done clear
B) \[v=\sqrt{2hg}\] done clear
C) \[\eta {{R}_{e}}=\rho vd\] done clear
D) \[S\,(2dI)=Fd\] done clear
View Answer play_arrowquestion_answer56) Which of the law representing Maxwell's third equation?
A) Gauss's law for electricity done clear
B) Ampere-Maxwell law done clear
C) Gauss's law of magnetism done clear
D) Faraday's law done clear
View Answer play_arrowquestion_answer57) A silver wire has a resistance of \[1.6\text{ }\Omega \]. At \[{{25.5}^{o}}C,\] and a resistance of \[2.5\text{ }\Omega \]. at \[{{100}^{o}}C,\] then temperature coefficient of resistivity of silver is
A) \[5.55\times {{10}^{-3}}\,{{\,}^{o}}C\] done clear
B) \[7.55\times {{10}^{-3}}\,{{\,}^{o}}C\] done clear
C) \[11.75\times {{10}^{-2}}\,{{\,}^{o}}C\] done clear
D) \[15.5\times {{10}^{-3}}\,{{\,}^{o}}C\] done clear
View Answer play_arrowquestion_answer58) When a particle returns to its initial point, its
A) displacement is zero done clear
B) average velocity is zero done clear
C) distance is zero done clear
D) average speed is zero done clear
View Answer play_arrowquestion_answer59) A body weight \[45\text{ }N\]on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half of the radius of the earth?
A) \[20\,\,N\] done clear
B) \[45\,\,N\] done clear
C) \[40\text{ }N\] done clear
D) \[90\text{ }N\] done clear
View Answer play_arrowquestion_answer60) The angle of a prism is \[{{42}^{o}}\] and refractive index of its material is\[3/2\]. Then, angle of minimum deviation for this prism is
A) \[{{63}^{o}}\] done clear
B) \[{{42}^{o}}\] done clear
C) \[{{28}^{o}}\] done clear
D) \[{{21}^{o}}\] done clear
View Answer play_arrowquestion_answer61) A conducting sphere of radius \[5\text{ }cm\]has an unknown charge. The electric field at \[10\text{ }cm\] from the centre of the sphere is \[1.8\times {{10}^{3}}\text{ }N/C\] and points radially inward. What is the net charge on the sphere?
A) \[1.8\,\,nC\] done clear
B) \[2\,\,nC\] done clear
C) \[1\,\,nC\] done clear
D) \[1.5\,\,nC\] done clear
View Answer play_arrowquestion_answer62) For transistors the value of \[\beta \] is 50 then, the value of a is
A) \[50/51\] done clear
B) \[49/50\] done clear
C) \[51/50\] done clear
D) \[50/49\] done clear
View Answer play_arrowquestion_answer63) An infinite line charge produces a field of \[18\times {{10}^{5}}\text{ }N/C\]at a distance of \[4\text{ }cm\]. What is the linear charge density?
A) \[18\,\mu \,C/m\] done clear
B) \[5\,\mu \,C/m\] done clear
C) \[4\,\mu \,C/m\] done clear
D) \[10\,\mu \,C/m\] done clear
View Answer play_arrowquestion_answer64) What is the fraction of molecular volume to the actual volume occupied by oxygen gas at STP? Given, the diameter of oxygen molecule is \[2\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\].
A) \[1.75\times {{10}^{-4}}\] done clear
B) \[1.5\times {{10}^{-4}}\] done clear
C) \[12\times {{10}^{-4}}\] done clear
D) \[1.125\times {{10}^{-4}}\] done clear
View Answer play_arrowquestion_answer65) A \[400\text{ }pF\]capacitor is charged by a' \[100\text{ }V\] supply. How much electrostatic energy is lost in the process of disconnecting from the supply and connecting another uncharged \[400\text{ }pF\] capacitor?
A) \[{{10}^{-5}}\,\,J\] done clear
B) \[{{10}^{-6}}\,\,J\] done clear
C) \[{{10}^{-7}}\,\,J\] done clear
D) \[{{10}^{-4}}\,\,J\] done clear
View Answer play_arrowquestion_answer66) The ratio of magnitude of electric displacement and electric field (E) is
A) charge density done clear
B) permittivity done clear
C) electric susceptibility done clear
D) dielectric constant done clear
View Answer play_arrowquestion_answer67) An object is gently placed on a long converges belt moving with \[11\text{ }m{{s}^{-1}}\]. If the coefficient of friction is \[0.4,\] then the block will slide in the belt up to a distance of
A) \[10.21\,\,m\] done clear
B) \[15.43\,\,m\] done clear
C) \[20.3\text{ }m\] done clear
D) \[25.6\text{ }m\] done clear
View Answer play_arrowquestion_answer68) A spring balance has a scale that reads from \[0\]to\[60\text{ }kg\]. The length of the scale is \[30\text{ }cm\]. A body suspended from this balance and when displaced and released, oscillates with a period of \[0.8\text{ }s,\] what is the weight of the body when oscillating?
A) \[350.67\text{ }N\] done clear
B) \[540.\text{ }11\text{ }N\] done clear
C) \[311.24\,\,N\] done clear
D) \[300.5\text{ }N\] done clear
View Answer play_arrowquestion_answer69) The magnetic needle has magnetic moment \[8.7\times {{10}^{-2}}\text{ }A-{{m}^{2}}\]and moment of inertia\[11.5\times {{10}^{-6}}\text{ }kg-{{m}^{2}}\]. It performs 10 complete oscillations in \[6.70\text{ }s,\] what is the magnitude of the magnetic field?
A) \[0.012\text{ }T\] done clear
B) \[0.120\text{ }T\] done clear
C) \[1.200\,\,T\] done clear
D) \[2.10\,\,T\] done clear
View Answer play_arrowquestion_answer70) The distance for which ray optics is good approximation for an aperture \[5\,\,mm\]and wavelength \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\]is
A) \[18\,m\] done clear
B) \[30\,\,m\] done clear
C) \[38\,\,m\] done clear
D) \[50\,\,m\] done clear
View Answer play_arrowquestion_answer71) A compound microscope has a magnification of\[30\]. The focal length of the eye-piece is \[5\text{ }cm\] If the final image is formed at the least distance of distinct vision \[(25\,\,cm)\] the magnification produced by the objective is
A) \[10\] done clear
B) \[7.5\] done clear
C) \[5\] done clear
D) \[15\] done clear
View Answer play_arrowquestion_answer72) Which of the following relation is called mirror equation?
A) \[u/v+f/u=1f\] done clear
B) \[1/v+1/u=1f\] done clear
C) \[1/f+u=1/v\] done clear
D) \[uf+vf=uv\] done clear
View Answer play_arrowquestion_answer73) A stone of mass \[0.05\text{ }kg\] is thrown vertically upwards. What is the direction and magnitude of the net force on the stone during its upward motion?
A) \[0.49\text{ }N\]vertically downward direction done clear
B) \[0.49\text{ }N\] vertically upwards direction done clear
C) \[0.05\text{ }N\]vertically downwards direction done clear
D) \[9.8\text{ }N\]vertically upwards direction done clear
View Answer play_arrowquestion_answer74) Two different coils have self-inductance \[{{L}_{1}}=8\,\,mH,\]\[{{L}_{2}}=2\,\,mH,\] The current in one coil is increased at a constant rate. The current in the second coil is also increased at the same rate. At a certain instant of time, the power given to the two coils is the same. At that time the current, the induced voltage and the energy stored in the first coil are \[{{i}_{1}},\,\,{{V}_{1}}\] and \[{{W}_{1}}\] respectively. Corresponding values for the second coil at the same instant are \[{{i}_{2}},\,{{V}_{2}}\] and \[{{W}_{2}}\] respectively. Then,
A) \[{{W}_{2}}/{{W}_{1}}=8\] done clear
B) \[{{W}_{2}}/{{W}_{1}}=1/8\] done clear
C) \[{{W}_{2}}/{{W}_{1}}=4\] done clear
D) \[{{W}_{2}}/{{W}_{1}}=1/4\] done clear
View Answer play_arrowquestion_answer75) A concave mirror of focal length 'f produces a real image n times the size of the object. The distance of the object from the mirror is
A) \[(n-1)f\] done clear
B) \[(n+1)f\] done clear
C) \[(n+1)f/n\] done clear
D) \[(n-1)f/n\] done clear
View Answer play_arrowquestion_answer76) Which of the following mentioned is a type of hydrocarbon?
A) Saturated hydrocarbons done clear
B) Unsaturated hydrocarbons done clear
C) Aromatic hydrocarbons done clear
D) All of the above done clear
View Answer play_arrowquestion_answer77) The process of formation of polymers from respective monomers is called
A) polyacrylonitrile done clear
B) copolymerisation done clear
C) polymerization done clear
D) None of the above done clear
View Answer play_arrowquestion_answer78) Energy of one mole of photons of radiation whose frequency is \[5\times {{10}^{14}}\,Hz\]is
A) \[199.51\text{ }kJ\text{ }mo{{l}^{-1}}\] done clear
B) \[~189.51\text{ }kJ\,mo{{l}^{-1}}\] done clear
C) \[198.51\,kJ\,mo{{l}^{-1}}\] done clear
D) \[188.51\,kJ\,mo{{l}^{-1}}\] done clear
View Answer play_arrowquestion_answer79) The total number of orbitals associated with the principal quantum number \[n=3\]is
A) 9 done clear
B) 8 done clear
C) 5 done clear
D) 7 done clear
View Answer play_arrowquestion_answer80) Mass number of an atom is the sum of
A) number of protons + number of neutrons + number of electrons done clear
B) number of protons + number of neutrons done clear
C) number of protons + number of electrons done clear
D) number of electrons + number of neutrons done clear
View Answer play_arrowquestion_answer81) Which of the following is used in the manufacture of alloys?
A) Lithium done clear
B) Hatides done clear
C) Plaster of Paris done clear
D) Beryllium done clear
View Answer play_arrowquestion_answer82) Williamson's synthesis is used to prepare
A) acetone done clear
B) PVC done clear
C) ethers done clear
D) bakelite done clear
View Answer play_arrowquestion_answer83) Which acid is present in vinegar?
A) Formic acid done clear
B) Acetic acid done clear
C) Butyric acid done clear
D) Tartaric acid done clear
View Answer play_arrowquestion_answer84) What is the percentage of free space in body centered cubic unit cell?
A) 32% done clear
B) 20% done clear
C) 34% done clear
D) 28% done clear
View Answer play_arrowquestion_answer85) In the formation of\[\pi -\]bond, the atomic orbitals overlap in such a way that
A) their axes remain parallel to each other and perpendicular to the internuclear axis done clear
B) their axes remain parallel to each other and parallel to the internuclear axis done clear
C) their axes remain perpendicular to each other and parallel to the internuclear axis done clear
D) their axes remain perpendicular to each other and perpendicular to the internuclear axis done clear
View Answer play_arrowquestion_answer86) What elements are present in\[f-\]block series?
A) Lanthanoids done clear
B) Actinoids done clear
C) Lanthanoids and actinoids done clear
D) Lipids done clear
View Answer play_arrowquestion_answer87) What colour is imparted into the flame when lithium is burnt?
A) Golden yellow done clear
B) Brick red done clear
C) Crimson red done clear
D) Grassy green done clear
View Answer play_arrowquestion_answer88) Which among the following is a non-colligative property?
A) Elevation in boiling point done clear
B) Osmotic pressure done clear
C) Refractive index done clear
D) Lowering of vapour pressure done clear
View Answer play_arrowquestion_answer89) Ethylene can be converted into alcohol by treatment of
A) \[Aq.\text{ }KOH\] done clear
B) \[{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\]as catalyst done clear
C) Moist silver oxide done clear
D) \[~Zn/HCl\] done clear
View Answer play_arrowquestion_answer90) Negatively charged particles are called
A) electrons done clear
B) protons done clear
C) neutrons done clear
D) None of these done clear
View Answer play_arrowquestion_answer91) Atoms with identical atomic number but different atomic mass number are known as
A) polymers done clear
B) isobars done clear
C) isotopes done clear
D) isomers done clear
View Answer play_arrowquestion_answer92) The colour of transition metal compound is due to
A) complete ns subshell done clear
B) small size metal ions done clear
C) incomplete \[(n-1)\,d\]subshell done clear
D) absorption of light in UV region done clear
View Answer play_arrowquestion_answer93) The mixture of reactants and products in the equilibrium state is called?
A) Chemical mixture done clear
B) Equilibrium mixture done clear
C) Chemical equilibrium done clear
D) Dynamic equilibrium done clear
View Answer play_arrowquestion_answer94) Among the following molecule which has the zero dipole moment?
A) \[B{{F}_{3}}\] done clear
B) \[{{H}_{2}}O\] done clear
C) \[N{{F}_{3}}\] done clear
D) \[Cl{{O}_{2}}\] done clear
View Answer play_arrowquestion_answer95) Who has synthesised the organic compound 'urea' for the first time?
A) Friedrich Wohler done clear
B) Berzelius done clear
C) Kolbe done clear
D) Berthelot done clear
View Answer play_arrowquestion_answer96) How much is the pH of human blood?
A) 5.2 done clear
B) 8.3 done clear
C) 6.3 done clear
D) 7.4 done clear
View Answer play_arrowquestion_answer97) A reagent which lowers the oxidation number of an element in a given substance in known as
A) oxidising agent done clear
B) reduction done clear
C) reducing agent done clear
D) oxidation done clear
View Answer play_arrowquestion_answer98) Sodium carbonate is manufactured by
A) Castner-Kellner done clear
B) Solvay process done clear
C) oxidation done clear
D) transmission process done clear
View Answer play_arrowquestion_answer99) EDTA can form complex with how many number of donor atoms?
A) One done clear
B) Two done clear
C) Six done clear
D) Three done clear
View Answer play_arrowquestion_answer100) Henry's law constant value for\[{{O}_{2}}\] in water is
A) 46.82 done clear
B) 43.86 done clear
C) 88.84 done clear
D) 76.48 done clear
View Answer play_arrowquestion_answer101) Polycondensation products of dicarboxylic acids and diols are
A) polyamides done clear
B) neoprene done clear
C) glyptal done clear
D) polyesters done clear
View Answer play_arrowquestion_answer102) The attractive force which holds various constituents together in different chemical species is called
A) valence bond done clear
B) chemical bond done clear
C) atomic bond done clear
D) electrovalent bond done clear
View Answer play_arrowquestion_answer103) What are lanthanides and actinides?
A) Inner transition element done clear
B) Noble gas done clear
C) Normal element done clear
D) Transition element done clear
View Answer play_arrowquestion_answer104) Compounds having the same molecular formula but different structures are classified as
A) functional group isomers done clear
B) structural isomers done clear
C) optical isomerism done clear
D) Metamerism done clear
View Answer play_arrowquestion_answer105) Gas constant is equal to the
A) product of two specific heat done clear
B) difference of two specific heat done clear
C) ratio of two specific heat done clear
D) sum of two specific heat done clear
View Answer play_arrowquestion_answer106) The colour in the coordination compounds can be readily explained in terms of
A) spectrochemistry done clear
B) chelate effect done clear
C) crystal field theory done clear
D) None of the above done clear
View Answer play_arrowquestion_answer107) Paramagnetism is exhibited due to which one of the following reason?
A) Presence of unpaired electrons done clear
B) Presence of completely filled electronic subshell done clear
C) By non-transition element done clear
D) By elements with noble gas configuration done clear
View Answer play_arrowquestion_answer108) Which one of the following acid does not have a carboxylic group?
A) Methanoic acid done clear
B) Ethanoic acid done clear
C) Propanoic acid done clear
D) Picric acid done clear
View Answer play_arrowquestion_answer109) How will you define the specific heat at constant volume?
A) The amount of heat required to raise the temperature of unit mass of gas through one degree at constant pressure done clear
B) The amount of heat required to raise the temperature of 1 kg of water through one degree done clear
C) The amount of heat required to raise the temperature of unit mass of gas through one degree at constant volume done clear
D) All of the above done clear
View Answer play_arrowquestion_answer110) The chief commercial use of amines as intermediates in the synthesis of
A) medicines done clear
B) fibers done clear
C) medicines and fibers done clear
D) proteins done clear
View Answer play_arrowquestion_answer111) Silver, gold, platinum, iron, copper and titanium are part of the
A) minerals done clear
B) transition metals done clear
C) salts done clear
D) All of these done clear
View Answer play_arrowquestion_answer112) Wood spirit is known as
A) Ethanol done clear
B) Methanol done clear
C) Propanol done clear
D) None of these done clear
View Answer play_arrowquestion_answer113) What is the value of 1/n in Freundlich adsorption isotherm2
A) Between 2 and 4 in all cases done clear
B) Between 0 and 1 in all cases done clear
C) 1 in case of chemisorptions done clear
D) 1 in case of physical adsorption done clear
View Answer play_arrowquestion_answer114) What is the product of reaction between calcium carbide and water?
A) Ethylene done clear
B) Acetylene done clear
C) Methane done clear
D) Benzene done clear
View Answer play_arrowquestion_answer115) The crystal lattice of electrovalent compound is composed of
A) oppositely charged ions done clear
B) both molecules and ions done clear
C) molecules done clear
D) atoms done clear
View Answer play_arrowquestion_answer116) Anti-Markownikoff addition of HBr is observed in
A) propene done clear
B) but-2-ene done clear
C) pent-2-ene done clear
D) All of these done clear
View Answer play_arrowquestion_answer117) What kind of isomerism is exhibited by the compounds\[C{{H}_{3}}C{{H}_{2}}CHO\]and \[C{{H}_{3}}COC{{H}_{3}}?\]
A) Geometrical isomerism done clear
B) Functional isomers done clear
C) Tautomers done clear
D) Metamers done clear
View Answer play_arrowquestion_answer118) Mass of a proton is
A) 0.00727 amu done clear
B) 1.0087 amu done clear
C) 0.00054 amu done clear
D) 1.00727 amu done clear
View Answer play_arrowquestion_answer119) The concentration of hydrogen ion in a sample of soft drink is \[3.8\times {{10}^{-3}}M.\] What is its pH?
A) \[3.84\] done clear
B) \[2.42\] done clear
C) \[4.44\] done clear
D) \[1.42\] done clear
View Answer play_arrowquestion_answer120) Which factor has no influence on the rate of reaction?
A) Molecularity done clear
B) Temperature done clear
C) Concentration of reactant done clear
D) Nature of reactant done clear
View Answer play_arrowquestion_answer121) What kinds of bonds are present in ethene molecule?
A) 1 pi and 5 sigma bonds done clear
B) 1 pi and 3 sigma bonds done clear
C) 1 sigma and 1 pi bonds done clear
D) 3 sigma and 3 pi bonds done clear
View Answer play_arrowquestion_answer122) r. The smallest quantity of energy that can be emitted or absorbed in the form of electromagnetic radiation is known as
A) quantum done clear
B) photon done clear
C) spectrum done clear
D) photoelectron done clear
View Answer play_arrowquestion_answer123) Food preservatives prevent spoilage of food due to microbial growth. The most commonly used preservatives are
A) table salt, sugar done clear
B) vegetable oils and sodium benzoate done clear
C) \[{{C}_{6}}{{H}_{5}}COONa\] done clear
D) All of the above done clear
View Answer play_arrowquestion_answer124) Based on which method amines are prepared?
A) Reduction of nitro compounds done clear
B) Ammonolysis of alkyl halides done clear
C) Reduction of nitrites and amides done clear
D) All of the above done clear
View Answer play_arrowquestion_answer125) All substances that conduct electricity in aqueous solutions are called?
A) Electrolytes done clear
B) Acids done clear
C) Buffers done clear
D) Catalyst done clear
View Answer play_arrowquestion_answer126) In which year, IUPAC draft recommends that anionic ligands will end with-ido so that chloro would become chloride
A) 1994 done clear
B) 1984 done clear
C) 2000 done clear
D) 2004 done clear
View Answer play_arrowquestion_answer127) Use of chemicals for therapeutic effect is called
A) medicines done clear
B) chemotherapy done clear
C) drug-target interaction done clear
D) phototherapy done clear
View Answer play_arrowquestion_answer128) What is the type of hybridisation found in methane?
A) \[s{{p}^{3}}\] done clear
B) \[s{{p}^{2}}\] done clear
C) \[sp\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer129) Addition of oxygen to an element or a compound is termed as
A) oxidation done clear
B) reduction done clear
C) ionisation done clear
D) redox reaction done clear
View Answer play_arrowquestion_answer130) Molality of 2.5 g of ethanoic acid \[(C{{H}_{3}}COOH)\] in 75 g of benzene is
A) \[~0.565\text{ }mol\text{ }k{{g}^{-1}}\] done clear
B) \[~0.656\text{ }mol\text{ }k{{g}^{-1}}\] done clear
C) \[~0.556\text{ }mol\text{ }k{{g}^{-1}}\] done clear
D) \[0.665\text{ }mol\text{ }k{{g}^{-1}}\] done clear
View Answer play_arrowquestion_answer131) It has been found that for a chemical reaction with rise in temperature by\[{{10}^{o}},\]the rate constant is
A) nearly doubled done clear
B) nearly tripled done clear
C) increases 5 times done clear
D) increases 4 times done clear
View Answer play_arrowquestion_answer132) Carbonyl compounds are constituents of
A) fabrics, drugs done clear
B) fabrics, plastics done clear
C) flavourings, plastics done clear
D) All of these done clear
View Answer play_arrowquestion_answer133) What is IUPAC name of \[iso-\]propylamine?
A) Propan-2-amine done clear
B) Ethanamine done clear
C) 2-aminotoluene done clear
D) Propan-1 -amine done clear
View Answer play_arrowquestion_answer134) lonization energy and electron affinity are defined at
A) enthalpy done clear
B) spontaneity done clear
C) equilibrium done clear
D) absolute zero done clear
View Answer play_arrowquestion_answer135) When acetaldehyde is heated with dilute sodium hydroxide solution, the product is
A) ethanol and sodium acetate done clear
B) paraldehyde done clear
C) aldol done clear
D) brown resin done clear
View Answer play_arrowquestion_answer136) Monovalent sodium and potassium ions, divalent magnesium and calcium ions are found in
A) lipids done clear
B) biological fluids done clear
C) fats done clear
D) enzymes done clear
View Answer play_arrowquestion_answer137) The removal of an electron from an atom results in the formation of
A) anion done clear
B) anode done clear
C) cation done clear
D) cathode done clear
View Answer play_arrowquestion_answer138) Which compound is responsible for perfumery?
A) Ketones done clear
B) Ethers done clear
C) Alcohols done clear
D) Esters done clear
View Answer play_arrowquestion_answer139) Which is the metal present in the coordination compound chlorophyll?
A) Ca done clear
B) Mg done clear
C) K done clear
D) Na done clear
View Answer play_arrowquestion_answer140) 45 g of ethylene glycol \[({{C}_{2}}{{H}_{6}}{{O}_{2}})\] is mixed with 600 g of water, what is the depression of freezing point?
A) 7.9 K done clear
B) 2.5 K done clear
C) 6.6 K done clear
D) 2.2 K done clear
View Answer play_arrowquestion_answer141) In \[\text{B}{{\text{r}}_{\text{3}}}{{\text{O}}_{\text{8}}}\]compound, oxidation number of bromine is
A) 16/13 done clear
B) 26/3 done clear
C) 24/3 done clear
D) 16/3 done clear
View Answer play_arrowquestion_answer142) How many octahedral void(s) are present per atom in a cubic close - packed structure?
A) 3 done clear
B) 4 done clear
C) 1 done clear
D) 2 done clear
View Answer play_arrowquestion_answer143) Lithium shows diagonal relationship with
A) sodium done clear
B) magnesium done clear
C) calcium done clear
D) aluminium done clear
View Answer play_arrowquestion_answer144) Why d-block element form complexes?
A) Due to large size and high nuclear charge done clear
B) Due to small size and low nuclear charge done clear
C) Due to small size and high nuclear charge done clear
D) None of the above done clear
View Answer play_arrowquestion_answer145) What is conductance?
A) Inverse of resistance done clear
B) Proportional of resistance done clear
C) Equal of resistivity done clear
D) Equal of resistance done clear
View Answer play_arrowquestion_answer146) Which is the correct statement about solid?
A) Very high compressibility done clear
B) Maximum intermolecular distance done clear
C) Definite mass but no definite volume done clear
D) Maximum intermolecular force of attraction done clear
View Answer play_arrowquestion_answer147) The enthalpy change accompanying a reaction is called
A) reaction enthalpy done clear
B) standard enthalpy done clear
C) thermochemical equation done clear
D) enthalpy of atomization done clear
View Answer play_arrowquestion_answer148) According to IUPAC system, what is the correct name of the compound\[[Cr{{(N{{H}_{3}})}_{3}}{{({{H}_{2}}O)}_{3}}]C{{l}_{3}}\]
A) triamminetriaquachromium \[(III)\] chloride done clear
B) triamminetriaquachromiumchloride \[(III)\] done clear
C) tetraammoniumtriaquachromium \[(III)\] chloride done clear
D) None of the above done clear
View Answer play_arrowquestion_answer149) The relative ease of dehydration of alcohols follows following order
A) tertiary > secondary > primary done clear
B) primary > secondary > tertiary done clear
C) secondary > tertiary > primary done clear
D) tertiary > primary > secondary done clear
View Answer play_arrowquestion_answer150) What is the unit of zero order reaction?
A) \[mol\,L\,{{s}^{-1}}\] done clear
B) \[{{S}^{-1}}\] done clear
C) \[L\,mo{{l}^{-1}}{{s}^{-1}}\] done clear
D) None of the above done clear
View Answer play_arrowquestion_answer151) Find the value of \[\cos \,\,(29\pi /3)?\]
A) \[1\] done clear
B) \[0\] done clear
C) \[\frac{\sqrt{3}}{2}\] done clear
D) \[1/2\] done clear
View Answer play_arrowquestion_answer152) Find the derivative of \[\sqrt{2}x+2\sqrt{x}-\frac{1}{x}\]?
A) \[\sqrt{2}+1/\sqrt{x}(1-1/2x)\] done clear
B) \[\sqrt{2}-1/\sqrt{x}(1+1/2x)\] done clear
C) \[\sqrt{2}-1/\sqrt{x}(1-1/2x)\] done clear
D) \[\sqrt{2}+1/\sqrt{x}(1+1/2x)\] done clear
View Answer play_arrowquestion_answer153) Solve \[\frac{dy}{dx}+\frac{y}{x}={{x}^{3}}\]
A) \[y=\frac{{{x}^{4}}}{5}+Cx\] done clear
B) \[y=\frac{{{x}^{3}}}{3}+Cx\] done clear
C) \[y=\frac{{{x}^{3}}}{3}+C\] done clear
D) \[y=\frac{{{x}^{4}}}{4}+x\] done clear
E) None of these done clear
View Answer play_arrowquestion_answer154) Given two vectors are \[\hat{i}-\hat{j}\] and \[\hat{i}+2\hat{j},\] the unit vector is coplanar with the two vectors and perpendicular to the first. Find the vector?
A) \[+\frac{1}{\sqrt{2}}\,(i+k)\] done clear
B) \[+\frac{1}{\sqrt{5}}\,(2i+j)\] done clear
C) \[+\frac{1}{\sqrt{2}}\,(i+j)\] done clear
D) \[+\frac{1}{\sqrt{2}}\,(2i+3j)\] done clear
View Answer play_arrowquestion_answer155) Solve the linear programming problem: max \[Z=x+2y\]subject to constraints: \[x-y\le 10,\]\[2x+3y\le 20.\],
A) \[max\text{ }Z=10~\] done clear
B) \[max\text{ }Z=30\] done clear
C) \[max\text{ }2=40\] done clear
D) \[max\text{ }Z=50\] done clear
E) None of these done clear
View Answer play_arrowquestion_answer156) Find the intersection of the spheres \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+7x-2y-z=13\] and \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-3x+3y+4z=8\]
A) \[x-y-z=1\] done clear
B) \[x-2y-z=1\] done clear
C) \[x-y-2z=1\] done clear
D) \[2x-y-z=1\] done clear
View Answer play_arrowquestion_answer157) Convert \[(i+1)/(\cos \,\pi /4)-i\,\sin (\pi /4)\] in polar form?
A) \[\cos \,(\pi /4)+i\,sin\,(\pi /4)\] done clear
B) \[\cos \,(\pi /2)+i\,\sin \,(\pi /2)\] done clear
C) \[\sqrt{2}\,(\cos \,(\pi /4)+i\,\sin (\pi /4))\] done clear
D) \[\sqrt{2}\,(\cos \,(\pi /2)\,+\,i\,\sin (\pi /2))\] done clear
View Answer play_arrowquestion_answer158) Solve \[{{\sin }^{-1}}\,2x+{{\cos }^{-1}}\,2x+2\,{{\tan }^{-1}}\,x=\pi \]
A) \[1\] done clear
B) \[0\] done clear
C) \[-1\] done clear
D) \[1/\sqrt{2}\] done clear
View Answer play_arrowquestion_answer159) For what values of x, the numbers \[-1,\,x,-3/4\] are in GP?
A) \[3/2\] done clear
B) \[\sqrt{3}/4\] done clear
C) \[\sqrt{3}/2\] done clear
D) \[3/\sqrt{2}\] done clear
View Answer play_arrowquestion_answer160) \[{{(1+i)}^{3}}+{{(1-i)}^{3}}\]
A) \[1\] done clear
B) \[-2\] done clear
C) \[0\] done clear
D) \[-4\] done clear
View Answer play_arrowquestion_answer161) Find the length of the diagonal of the parallelepiped formed by planes drawn through the points \[(2,3,5)\] and \[(5,9,7),\] parallel to the co-ordinate planes?
A) \[\sqrt{38}\] units done clear
B) \[7\]nits done clear
C) \[\sqrt{155}\] units done clear
D) \[13\]units done clear
View Answer play_arrowquestion_answer162) If \[g(x)=({{x}^{2}}+2x+3)\,f(x),\,\,f(0)=5\] and \[{{\lim }_{x\to 0}}\,\frac{f(x)-5)}{x}=4,\]then \[f'(0)\] equal to
A) \[22\] done clear
B) \[18\] done clear
C) \[20\] done clear
D) \[25\] done clear
E) None of these done clear
View Answer play_arrowquestion_answer163) Find \[\int{\frac{1}{\sqrt{7-{{x}^{2}}}}\,dx}\]
A) \[\frac{1}{2\sqrt{7}}\,\log \,\left| \frac{\sqrt{7+x}}{\sqrt{7-x}} \right|+C\] done clear
B) \[{{\sin }^{-1}}\,\left( \frac{x}{\sqrt{7}} \right)+C\] done clear
C) \[\log |x+\sqrt{{{x}^{2}}-7}|+C\] done clear
D) \[\frac{1}{2\sqrt{7}}\log \,\left| \frac{x-\sqrt{7}}{x+\sqrt{7}} \right|+C\] done clear
View Answer play_arrowquestion_answer164) Find the range of the function \[f:[0,\,1]\to R,\,\,f(x)={{x}^{3}}-{{x}^{2}}+4x+2{{\sin }^{-1}}x\]?
A) \[[-(\pi +2),\,0]\] done clear
B) \[[0,4+\pi ]\] done clear
C) \[[2,3]\] done clear
D) \[(0,\,2+\pi ]\] done clear
View Answer play_arrowquestion_answer165) Solve the inequality \[3x+2>-16,\,2x-3\le 11\]
A) \[(-6,7)\] done clear
B) \[[-6,7)\] done clear
C) \[(-6,7]\] done clear
D) [-6, 7] done clear
View Answer play_arrowquestion_answer166) Events A, B and C are mutually exclusive events such that \[P(A)=(3x+1)/3,\] \[P(B)=(x-1)/4,\] \[P(C)=(1-2x)/2,\] Find the set of possible value of x in the interval.
A) \[[-1/3,\,\,1/2]\] done clear
B) \[[1/3,\,2/3]\] done clear
C) \[[1/3,\,13/3]\] done clear
D) \[[0,1]\] done clear
E) None of these done clear
View Answer play_arrowquestion_answer167) If \[{{\cos }^{-1}}(2-{{x}^{2}})/(1+{{x}^{2}})+{{\tan }^{-1}}x=\pi /2,\], then x is equal to?
A) \[0\] done clear
B) \[1\] done clear
C) \[\frac{1}{\sqrt{3}}\] done clear
D) \[\sqrt{3}\] done clear
View Answer play_arrowquestion_answer168) There are 7 horses in a race, Mr. X selected 2 horses at random and bet on them. The probability that Mr. X selected the winning horse, is
A) \[1/7\] done clear
B) \[4/7\] done clear
C) \[3/7\] done clear
D) \[2/7\] done clear
View Answer play_arrowquestion_answer169) If \[{{x}^{y}}={{e}^{(x-y)}},\] then find \[dy/dx\]
A) \[\log x/{{(1+\log x)}^{2}}\] done clear
B) \[(\log x)\,/\,(1+\log x)\] done clear
C) \[(1-\log x)\,/\,(1+\log x)\] done clear
D) \[(\log x)\,/\,{{(1-\log x)}^{2}}\] done clear
View Answer play_arrowquestion_answer170) The mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively, find the value of \[P(X=1)\].
A) \[1/4\] done clear
B) \[1/16\] done clear
C) \[1/8\] done clear
D) \[1/32\] done clear
View Answer play_arrowquestion_answer171) Find the domain of the function \[f(x)=({{x}^{2}}+1)/({{x}^{2}}-3x+3)?\]
A) \[R-\{1,\,\,2\}\] done clear
B) \[R-\{1,\,\,4\}\] done clear
C) \[R\] done clear
D) \[R-\{\,1\,\}\] done clear
View Answer play_arrowquestion_answer172) Let \[A\,\,(2,\,\,-3)\]and \[B\,\,(-2,\,\,1)\] be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line
A) \[3x-2y=3\] done clear
B) \[2x+3y=9\] done clear
C) \[2x-3y=7\] done clear
D) \[3x-2y=5\] done clear
View Answer play_arrowquestion_answer173) Find \[^{n}{{C}_{21}}\] if \[^{n}{{C}_{10}}{{=}^{n}}{{C}_{11}}.\]
A) \[1\] done clear
B) \[0\] done clear
C) \[11\] done clear
D) \[10\] done clear
View Answer play_arrowquestion_answer174) 9th term in \[n(n-4)/({{n}^{2}}+1)\] is
A) \[55/82\] done clear
B) \[40/82\] done clear
C) \[45/82\] done clear
D) \[36/82\] done clear
View Answer play_arrowquestion_answer175) Find the area of the triangle with vertices \[(2,3),\]\[(0,\,\,1)\]and \[(1,\,\,2)\].
A) \[{\scriptstyle{}^{1}/{}_{2}}\]sq. unit done clear
B) \[1\] sq. unit done clear
C) \[2\] sq. units done clear
D) \[2\,\,{\scriptstyle{}^{1}/{}_{2}}\]sq. units done clear
E) None of these done clear
View Answer play_arrowquestion_answer176) Solve the system of linear equations \[x+y=1,\]\[x-2y=4\].
A) \[x=2,y=-5\] done clear
B) \[x=1,y=2\] done clear
C) \[x=2,\,y=-1\] done clear
D) \[x=-1,y=2\] done clear
View Answer play_arrowquestion_answer177) Find \[\frac{dy}{dx},\] if \[y={{\sin }^{2}}x+{{\cos }^{4}}x\]
A) \[\frac{-\sin \,4x}{4}\] done clear
B) \[\frac{-\sin \,2x}{2}\] done clear
C) \[\frac{\sin \,4x}{4}\] done clear
D) \[\frac{-\sin \,4x}{2}\] done clear
View Answer play_arrowquestion_answer178) A manufacturer has \[500\text{ }L\]of a \[10%\]solution of acid, find the range of 40% acid to be added to it y such that the acid content in the resultant mixture will be more than \[15%\] but less than \[20%\] .
A) More than \[250\text{ }L\]and less than \[~300\] done clear
B) More than \[300\text{ }L\] and less than \[400\] done clear
C) More than \[100\text{ }L\] and less than \[250\] done clear
D) More than \[250\text{ }L\]and less than \[350\] done clear
View Answer play_arrowquestion_answer179) If the eccentricity of an ellipse with its centre at the origin is \[1/2\] and one of its directrices is\[x=4,\]then find the equation of the ellipse
A) \[3{{x}^{2}}+4{{y}^{2}}=1\] done clear
B) \[4{{x}^{2}}+3{{y}^{2}}=12\] done clear
C) \[3{{x}^{2}}+4{{y}^{2}}=12\] done clear
D) \[4{{x}^{2}}+3{{y}^{2}}=12\] done clear
View Answer play_arrowquestion_answer180) Integrate \[\frac{{{\sec }^{2}}\,({{\sin }^{-1}}x)}{\sqrt{1-{{x}^{2}}}}\]
A) \[\sin \,({{\tan }^{-1}}x)+C\] done clear
B) \[\tan \,({{\sec }^{-1}}x)+C\] done clear
C) \[\tan \,({{\sin }^{-1}}x)+C\] done clear
D) \[-\tan \,(co{{s}^{-1}}x)+C\] done clear
View Answer play_arrowquestion_answer181) A circle with centre \[(0,\,\,3)\] is passing through the foci of the ellipse \[{{x}^{2}}/16+{{y}^{2}}/9=1.\] Find the radius of the circle.
A) \[7/2\] units done clear
B) \[3\] units done clear
C) \[4\] units done clear
D) \[\sqrt{12}\] units done clear
View Answer play_arrowquestion_answer182) Which term of the series \[\sqrt{2},2/3,\,2\sqrt{2}/9,....\]is \[16/2187\]?
A) 10th term done clear
B) 8th term done clear
C) 9th term done clear
D) 11th term done clear
View Answer play_arrowquestion_answer183) Integrate \[\frac{1}{{{x}^{3}}\,({{x}^{2}}-1)}\]
A) \[\frac{1}{3}\log \left| \frac{{{x}^{3}}}{{{x}^{3}}-1} \right|+C\] done clear
B) \[\frac{1}{3}\log \left| \frac{1-{{x}^{3}}}{{{x}^{3}}} \right|+C\] done clear
C) \[\log \left| \frac{{{x}^{3}}}{{{x}^{3}}-1} \right|+C\] done clear
D) \[\frac{1}{3}\log \left| \frac{{{x}^{3}}-1}{{{x}^{3}}} \right|+C\] done clear
E) None of these done clear
View Answer play_arrowquestion_answer184) Evaluate \[\underset{x\to 3}{\mathop{\lim }}\,\frac{3-x}{\sqrt{4+x}-\sqrt{1+2x}}\]
A) \[0\] done clear
B) \[7\sqrt{2}\] done clear
C) \[4\sqrt{7}\] done clear
D) \[2\sqrt{7}\] done clear
View Answer play_arrowquestion_answer185) \[\int{{{\sec }^{3}}\,\,x\,\,dx}\]
A) \[1/2[\sec x\tan x-\log |\sec x+\tan x|]+C\] done clear
B) \[1/2[\sec x\tan x+\log |\sec x-\tan x|]+C\] done clear
C) \[1/2[\sec x\tan x-\log |\sec x-\tan x|]+C\] done clear
D) \[1/2[\sec x\tan x+\log |\sec x+\tan x|]+C\] done clear
View Answer play_arrowquestion_answer186) The sum of first three terms of a GP is 7/9 and their product is\[~-8/27\]. Find the common ratio of the series
A) \[r=-2/3\] or \[-3/2\] done clear
B) \[r=-2/3\] or \[3/2\] done clear
C) \[r=2/3\] or \[-3/2\] done clear
D) \[r=2/3\] or \[3/2\] done clear
View Answer play_arrowquestion_answer187) Differentiate \[\sin \,\,(\sin \,\,2x).\]
A) \[2\,\cos \,2x.\,\cos \,2x\] done clear
B) \[2\,\cos \,2x.\,\cos \,(\sin \,2x)\] done clear
C) \[2\,\cos \,2x.\sin 2x\] done clear
D) \[\cos \,2x.\cos \,(\sin 2x)\] done clear
View Answer play_arrowquestion_answer188) In a moderately a symmetrical distribution, the mean and median are 36 and 34 respectively, find out, the value of empirical mode.
A) \[30\] done clear
B) \[32\] done clear
C) \[42\] done clear
D) \[22\] done clear
View Answer play_arrowquestion_answer189) If \[\sin y=x\sin (a+y),\] then find \[dy/dx\].
A) \[{{\sin }^{2}}\,(a+y)/\sin a\] done clear
B) \[\sin a/{{\sin }^{2}}\,(a+y)\] done clear
C) \[\sin a/{{\sin }^{2}}\,(a-y)\] done clear
D) \[{{\sin }^{2}}(a-y)\sin a\] done clear
View Answer play_arrowquestion_answer190) Solve the inequality \[2x-5\le (4x-7)/3?\]
A) \[x\in (-\infty ,\,4)\] done clear
B) \[x\in (-\infty ,\,4]\] done clear
C) \[x\in (-\infty ,\,8]\] done clear
D) \[x\in (-\infty ,\,-4]\] done clear
View Answer play_arrowquestion_answer191) If u , v and w are three non-coplanar vectors, then \[(u+v-w).\,[(u-v)\times (v-w)]\]equals to
A) \[u.\,\,w\times u\] done clear
B) \[u.\,\,v\times w\] done clear
C) \[0\] done clear
D) \[3\,u.\,\,v\times w\] done clear
View Answer play_arrowquestion_answer192) If \[y=x{{e}^{2y}},\]then find \[dy/dx\].
A) \[y/(x(1-2x))\] done clear
B) \[x/(y\,(1-2x))\] done clear
C) \[x/(y(1-2y))\] done clear
D) \[y/(x(1-2y))\] done clear
View Answer play_arrowquestion_answer193) A line makes the same angle 6 with each of the x and z-axis. If it makes the angle \[\beta \] with y-axis such that \[{{\sin }^{2}}\beta =3\,{{\sin }^{2}}\theta ,\] then \[{{\cos }^{2}}\,\theta \] equals
A) \[3/5\] done clear
B) \[1/5\] done clear
C) \[2/5\] done clear
D) \[2/3\] done clear
View Answer play_arrowquestion_answer194) The two curves \[{{x}^{3}}-3x{{y}^{2}}+2=0\] and \[3{{x}^{2}}y-{{y}^{2}}-2=0\]
A) touch each other done clear
B) cut a an angle \[\pi /4\] done clear
C) cut at an angle \[\pi /3\] done clear
D) cut at an angle \[\pi /2\] done clear
View Answer play_arrowquestion_answer195) . Solve for \[x,\,\,{{\tan }^{-1}}(1/x)=\pi +{{\tan }^{-1}}x,\,\,0<x<1\]
A) not defined done clear
B) \[\sqrt{3}\] done clear
C) \[\pm \,1\] done clear
D) \[0\] done clear
E) None of these done clear
View Answer play_arrowquestion_answer196) Solve the equation \[{{x}^{2}}-\sqrt{3}x+1=0\]
A) \[x=(-\sqrt{3}\,\,\pm \,\,2i)/2\] done clear
B) \[x=(-\sqrt{3}\,\,\pm \,i)/2\] done clear
C) \[x=(-\sqrt{3}\,\,\pm \,i)\] done clear
D) \[x=(\sqrt{3}\,\,\pm \,i)/2\] done clear
View Answer play_arrowquestion_answer197) Differentiate \[{{x}^{-3}}\,(2+7x)\]
A) \[\frac{-1}{{{x}^{4}}}\,(3+7x)\] done clear
B) \[\frac{-2}{{{x}^{3}}}\,(2+7x)\] done clear
C) \[\frac{2}{{{x}^{4}}}\,(2+7x)\] done clear
D) \[\frac{-2}{{{x}^{4}}}\,(3+7x)\] done clear
View Answer play_arrowquestion_answer198) The probability that A speaks the truth is \[3\text{ }/5\] and probability that B speaks the truth is\[3\text{ }/4\] Find the probability that they contradict each other when; asked to speak a fact.
A) \[3/20\] done clear
B) \[4/5\] done clear
C) \[9/20\] done clear
D) \[7/20\] done clear
View Answer play_arrowquestion_answer199) Find the multiplicative-inverse of \[5-6i\]
A) \[-(5/61)+(6/61)i\] done clear
B) \[(5/61)+(6/61)i\] done clear
C) \[(5/61)-(6/61)i\] done clear
D) \[-(5/61)+(6/61)i\] done clear
View Answer play_arrowquestion_answer200) Find the sum to n terms of the series whose nth term is \[{{n}^{2}}-2\text{ }n\].
A) \[2n\,(n-1)\] done clear
B) \[2n(n+1)\] done clear
C) \[2{{n}^{2}}(n+1)\] done clear
D) \[2{{n}^{2}}(n-1)\] done clear
E) None of these done clear
View Answer play_arrowquestion_answer201) A plane which passes through the point \[(3,\,2,\,0)\]and the line \[(x-4)/1=(y-7)/5=(z-4)/4\] is
A) \[x+y+z=1\] done clear
B) \[x+2y-z=1\] done clear
C) \[x-y+z=1\] done clear
D) \[2x-y+z=5\] done clear
View Answer play_arrowquestion_answer202) Find the value of \[\sin \,(2\,{{\tan }^{-1}}x),\,|x|\le 1\]
A) \[1/x\] done clear
B) \[x\] done clear
C) \[1/{{x}^{2}}\] done clear
D) \[2x/(1+{{x}^{2}})\] done clear
View Answer play_arrowquestion_answer203) In a group of students, 40 students choose Physics, 30 students choose Chemistry and 15 students choose both. Each of the students choose either Physics or Chemistry. How many students are there in the group?
A) \[60\] done clear
B) \[70\] done clear
C) \[75\] done clear
D) \[55\] done clear
View Answer play_arrowquestion_answer204) Discuss the continuity of the function \[f(x)=\sin 2x-1\]at the point \[x=0,\]and\[x=\pi \].
A) Continuous at \[x=0,\,\pi \] done clear
B) Discontinuous at \[x=0\]but continuous at \[x=\pi \] done clear
C) Continuous at \[x=0\] but discontinuous at \[x=\pi \] done clear
D) Discontinuous at \[x=0,\,\pi \] done clear
View Answer play_arrowquestion_answer205) The value of \[2{{\cot }^{2}}\,(\pi /6)+\,4\,{{\tan }^{2}}(\pi /6)\]\[-3\,\text{cosec }\pi \text{/6}\] is
A) \[2\] done clear
B) \[4\] done clear
C) \[4/3\] done clear
D) \[3/4\] done clear
View Answer play_arrowquestion_answer206) If \[A=\left[ \begin{matrix} 2 & -1 \\ 1 & 2 \\ \end{matrix} \right],\]then \[{{A}^{2}}+2A-3I=?\]
A) \[\left[ \begin{matrix} 4 & -6 \\ 6 & 4 \\ \end{matrix} \right]\] done clear
B) \[0\] done clear
C) \[\left[ \begin{matrix} -6 & 2 \\ -2 & 6 \\ \end{matrix} \right]\] done clear
D) \[5l\] done clear
View Answer play_arrowquestion_answer207) The sum of first 8 terms of the geometric series \[2+6+18+54+.....\]is
A) \[6506\] done clear
B) \[5650\] done clear
C) \[6650\] done clear
D) \[6560\] done clear
View Answer play_arrowquestion_answer208) Let \[A\{1,2,3,4,5\}.\]Find the domain in the relation from A to A by \[R=\{(x,y):y=2x-1\}.\]
A) \[\{1,2,3\}\] done clear
B) \[\{1,2\}\] done clear
C) \[\{1,3,5\}\] done clear
D) \[\{2,4\}\] done clear
View Answer play_arrowquestion_answer209) Find \[\cos \,(x/2),\] if \[\tan \,x=5/12,\,x\] in quadrant III
A) \[5/\sqrt{13}\] done clear
B) \[5/\sqrt{26}\] done clear
C) \[5/13\] done clear
D) \[5/26\] done clear
E) None of these done clear
View Answer play_arrowquestion_answer210) \[\int{{{\sin }^{-1}}\,\,\cos \,\,3x\,\,dx}\]is
A) \[\frac{3\pi }{2}x-\frac{{{x}^{2}}}{2}+C\] done clear
B) \[\frac{\pi }{2}x-\frac{{{x}^{2}}}{2}+C\] done clear
C) \[\frac{3\pi }{2}x+\frac{{{x}^{2}}}{2}+C\] done clear
D) \[\frac{\pi }{2}x+\frac{{{x}^{3}}}{3}+C\] done clear
E) None of these done clear
View Answer play_arrowquestion_answer211) If a, b, c are three vectors such that \[a\text{ }\times \text{b}=c\] and\[b\text{ }\times c=a\],then
A) \[a\ne b\ne c\] done clear
B) \[a=b=c\] done clear
C) \[a\ne b\text{ }\ne \text{ }c\ne 1\] done clear
D) a, b, c are orthogonal in pairs done clear
View Answer play_arrowquestion_answer212) Determine n, if \[^{2n}{{C}_{2}}{{:}^{n}}{{C}_{2}}:\,\,\,\,=\,\,9:2\]
A) \[5\] done clear
B) \[4\] done clear
C) \[3\] done clear
D) \[2\] done clear
View Answer play_arrowquestion_answer213) \[\underset{x\to 0}{\mathop{\lim }}\,\,\,\frac{{{\sin }^{-1}}\,(x-2)}{{{x}^{2}}-4}\]is equal to
A) \[0\] done clear
B) \[2\] done clear
C) \[1/2\] done clear
D) \[1\] done clear
View Answer play_arrowquestion_answer214) If \[a\ne 0\]and the line \[2bx+3cy+4d=0\] passes through the points of intersection of the parabolas\[{{y}^{2}}=4ax\]and \[{{x}^{2}}=4ay,\]then
A) \[{{d}^{2}}+{{(2b-3c)}^{2}}=0\] done clear
B) \[{{d}^{2}}+{{(3b-2c)}^{2}}=0\] done clear
C) \[{{d}^{2}}+{{(2b+3c)}^{2}}=0\] done clear
D) \[{{d}^{2}}+{{(3b-2c)}^{2}}=0\] done clear
View Answer play_arrowquestion_answer215) If \[f(x)={{x}^{3}}-1,\] then find \[[f(3)+f(2)]/11\]
A) \[1\] done clear
B) \[2\] done clear
C) \[3\] done clear
D) \[4\] done clear
View Answer play_arrowquestion_answer216) The intercept- on the line \[y=x\]by the circle \[{{x}^{2}}+{{y}^{2}}-2x=0\]is AB. Find the equation of the circle on AB as a diameter?
A) \[{{x}^{2}}+{{y}^{2}}+x+y=0\] done clear
B) \[{{x}^{2}}+{{y}^{2}}-x-y=0\] done clear
C) \[{{x}^{2}}+{{y}^{2}}+x-y=0\] done clear
D) \[{{x}^{2}}+{{y}^{2}}-x+y=0\] done clear
View Answer play_arrowquestion_answer217) Compute the product \[\left[ \begin{matrix} -1 & 3 & 0 \\ 2 & 1 & 4 \\ \end{matrix} \right]\times \left[ \begin{matrix} 1 & 3 \\ 0 & 2 \\ -2 & -1 \\ \end{matrix} \right]\]
A) \[\left[ \begin{matrix} 1 & 3 \\ 6 & -4 \\ \end{matrix} \right]\] done clear
B) \[\left[ \begin{matrix} -1 & -3 \\ 6 & 4 \\ \end{matrix} \right]\] done clear
C) \[\left[ \begin{matrix} -1 & 3 \\ -6 & 4 \\ \end{matrix} \right]\] done clear
D) \[\left[ \begin{matrix} -1 & 3 \\ -6 & -4 \\ \end{matrix} \right]\] done clear
View Answer play_arrowquestion_answer218) Find the values of x, y and z from the following equations \[\left[ \begin{matrix} 4 & x-z \\ 2+y & xz \\ \end{matrix} \right]=\left[ \begin{matrix} 4 & 3 \\ -1 & 10 \\ \end{matrix} \right]\]
A) \[x=-5,\text{ }y=3,\text{ }z=2\] done clear
B) \[x=5,y=-3,z=2\] done clear
C) \[x=5,y=3,\text{ }z=-2\] done clear
D) \[x=5,y=-3,z=-2\] done clear
View Answer play_arrowquestion_answer219) Let \[A=\{1,\,\,2\,\{a,\,\,b\},\,\,3,\,\,4\},\] which among the following statements is incorrect?
A) \[\{a,\,b\}\subset A\] done clear
B) \[\{a,\,b\}\in A\] done clear
C) \[\{\{a,\,b\}\}\subset A\] done clear
D) \[\phi \,\,\in \,\,A\] done clear
View Answer play_arrowquestion_answer220) The probability of India winning a test match against South Africa is \[1/2\]assuming independence form match to match played. The probability that in a match series India's second win occurs at the third day is
A) \[1/8\] done clear
B) \[1/2\] done clear
C) \[1/4\] done clear
D) \[2/3\] done clear
View Answer play_arrowquestion_answer221) In an experiment with 15 observations on x the following results are available \[\Sigma {{x}^{2}}=2830,\] \[\Sigma x=170.\] One observation that was 20, was found to be wrong and was replaced by correct value 30. Find the correct variance.
A) \[78'\] done clear
B) \[186\] done clear
C) \[158\] done clear
D) \[18\] done clear
View Answer play_arrowquestion_answer222) If a circle passes through the point \[(a,b)\] and cuts the circle \[{{x}^{2}}+{{y}^{2}}=4\]orthogonally, then the locus of its centre is
A) \[2ax+2by-({{a}^{2}}+{{b}^{2}}+4)=0\] done clear
B) \[2ax+2by+({{a}^{2}}+{{b}^{2}}+4)=0\] done clear
C) \[2ax-2by+({{a}^{2}}+{{b}^{2}}+4)=0\] done clear
D) 2ax \[2ax-2by-({{a}^{2}}+{{b}^{2}}+4)=0\] done clear
View Answer play_arrowquestion_answer223) Find the radius of the circle in which the sphere \[{{x}^{2}}+\text{ }{{y}^{2}}+\text{ }{{z}^{2}}+2x-2y-4z=19\]is cut by the plane\[x+2y+2z+7=0\].
A) \[2\] done clear
B) \[3\] done clear
C) \[1\] done clear
D) \[4\] done clear
View Answer play_arrowquestion_answer224) Let \[A=\{1,2,3,4\}\] and R be the relation on A defined by \[\{(a,b);\,\,a,\,b\,\in A,\,\,a\times b\] is an even number}, then find the range of R.
A) \[\{1,2,3,4\}\] done clear
B) \[\{2,\,\,4\}\] done clear
C) \[\{2,\,\,3,\,\,4\}\] done clear
D) \[\{1,\,\,2,\,\,4\}\] done clear
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