question_answer2) A bar magnet has a magnetic moment equal to \[5\times {{10}^{-5}}\Omega m\]. It is suspended in magnetic field, which has a magnetic induction\[B=8\pi \times {{10}^{-4}}T\]. Then, the magnet vibrates with period of vibration equal to 15 s. Then, the moment of inertia of magnetic well be
question_answer3) We combined a convex lens of focal length and \[{{f}_{1}}\]concave lens of focal length \[{{f}_{2}}\] and their combined focal length was F. The combination of these lenses will be have like a concave lens, if
question_answer5) A particle having charge 100 times that of an electron is revolving in a circular path of radius 0.8 m with one rotation per second. Magnetic field produced at centre of particle is
question_answer6) Two coils have mutual inductance 0.005 H. The current changes in the from coil according to equation, \[I={{I}_{0}}\sin \omega t.\]Where \[{{I}_{0}}=10\,A\]and \[\omega =100\pi \]rad/s. The maximum value of emf in the second coil is
question_answer8) A sphere is accelerated upwards by cord whose braking strength is four times its weight. The maximum acceleration with which the sphere can move up with our breaking the cord is
question_answer10) Mass of 2 kg is moving with a string in horizontal circle with angular velocity 5 cycle/m keeping the radius constant, tension in string is doubled. Now, the angular velocity of the mass will be
question_answer11) What is the potential energy of the soap film formed on a frame of area \[4\times {{10}^{-3}}{{m}^{2}}?\] If the area of the film is reduced by half, the change in its potential energy will be (surface tension of the soap solution is \[4\times {{10}^{-3}}\] H/m)
question_answer12) A body rolls without slipping. The radius of gyration of the body above an axis passing through its centre of mass is K. The radius of the body is R The ratio of rotational kinetic energy to translational kinetic energy is
question_answer13) A point initially at run moves along x-axis. Its Acceleration varies with time\[\alpha =\](\[6t+5\]) in m/s. If its starts from origin, the distance covered in 2s is
question_answer14) A particle of mass m moves in a circular path radius r under the action of a force\[\frac{m\,{{\upsilon }^{2}}}{r}\]. The work done during its motion over half of the circumference of the circular path will be
question_answer15) In a potentiometer of one metre length an unknown emf voltage source is balanced at 60 cm length of potentiometer wire, while a 3\[3\upsilon \]battery is balanced at 45 cm length. Then, the emf of the unknown voltage source is
question_answer16) An object placed on a ground is in stable equilibrium. If the object is given a slight push, then initially the position of centre of gravity
question_answer17) Two pendulums have time periods t and\[5t/4\]. They starts SHM at the same time from the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation?
question_answer18) A cylindrical conductor is placed near other positively charged conductor. The net charge acquired by the cylindrical conductor will be
question_answer19) An electric motor runs on DC source of emf 200V and draws a current of 10A. If the efficiency be 40%, then the resistance of armature is
question_answer23) In hydrogen spectrum, the wavelength of the line is 656 nm, where as in the spectrum of a distant galaxy, the line wavelength is 706 nm. Estimated speed of galaxy with respect to the earth is
question_answer26) A circular loop of radius R carrying current I lies in x-y plane with its centre at origin. The total magnetic flux through x-y plane is
question_answer27) A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?
question_answer28) A prism of refractive index \[\sqrt{2}\] has a refracting angle of 60°. At what angle a ray must be incident on it, so that it suffers a minimum deviation.
question_answer30) A police jeep is chaping with velocity of 45 km/h, a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity it will strike the car of the thief is
question_answer31) If an insulated non-conducting sphere of radius ?R has charge density\[\rho \]. The electric field at a distance r from the centre of sphere (r > R) will be
question_answer32) A person who can see things most clearly at a distance of 10m, requires. Spectacles to enable to see clearly things at a distance of 30m. What should be the focal length of the spectacles?
question_answer34) A box is lying on an inclined plane. If the box starts sliding when the angle of inclination is 45°, then its coefficient of friction will be
question_answer37) A ball of mass 0.25 kg attached to the ends of a strings of length 1.96 m is rotating in a horizontal circle. The string will break, if tension is more than 25 N. What is the maximum velocity with which the ball can be rotated?
question_answer39) At what temperature hydrogen molecules will escape from the earth's surface? (Take mass of hydrogen molecule \[=0.34\times {{10}^{-26}}\]kg, Boltzmann constant \[=1.38\times {{10}^{-23}}\] J/K, radius of the earth \[=6.4\times {{10}^{6}}\]m and acceleration due to gravity \[=9.8m/{{s}^{2}}\])
question_answer40) The amplitude of an oscillating simple pendulum is 10 cm and its time period is 4s. Its speed after Is when it passes through its equilibrium position is
question_answer42) A beam of cathode rays is subjected to crossed electric (E) and magnetic fields (B), The fields are adjusted such that the beam is not deflected. The specific charge of the cathode rays is given by
question_answer46) The susceptibility of a paramagnetic material is\[\chi \] at 27° C. At what temperature will its susceptibility be\[\frac{\chi }{2}\] ?
question_answer47) A solid sphere of radius R made of material of bulk modulus k is surrounded by a liquid in a cylindrical container. A massless piston of area. A flats on the surface of the liquid. When a mass m is placed on the piston to compress the liquid, fractional change in the radius of the sphere \[\frac{\Delta R}{R}\] is
question_answer49) Angular width of central maxima in the Fraunhofer's diffraction pattern is measured. Slit is illuminated by the light of wavelength 6000\[\overset{\bullet }{\mathop{A}}\,\]. If slit is illuminated by light of another wavelength, angular width decreases by 30%. Wavelength of light used is
question_answer50) The ratio of the acceleration due to gravity as the bottom of a deep mine and that on the surface of the earth is 978/980. Find the depth of the mine, if the density of the earth is uniform throughout and the radius of the earth is 6300 km.
question_answer51) An ideal gas is heated at constant pressure and absorbs amount of heat Q. If the adiabatic exponent is \[\gamma \], then the fraction of heat absorbed m raising the internal energy and performing the work is
question_answer52) Two identical strings of the same material, same diameter and same length are in unison, when stretched by the same tension. If the tension on one string is increased by 21%, the number of beats heard per second is 10. The frequency of the note in hertz, when the strings are in unison is
question_answer53) One face AC of the glass prism is silvered as shown and the principal section of a glass prism is an isosceles triangle ABC with AB = AC. The \[\angle BAC\], if the ray incident normally on the face AB and after two reflections, it energies from the base BC perpendicular to it, is
question_answer54) Capacitance of a capacitor becomes \[\frac{7}{6}\] times its original value, if a dielectric slab of thickness\[t=\frac{2}{3}d\] is introduced in between the plates d, is the separation between the plates. The dielectric constant of the dielectric slab is
question_answer55) An electrical meter of internal resistance 20\[\Omega \], gives a full scale deflection when one milliampere current flows through it. The maximum current, that can be measured by using three resistors of resistance 12\[\Omega \] each, in milliampere is
question_answer56) A body executing SHM has a maximum velocity of 1 \[m{{s}^{-1}}\]and a maximum acceleration of 4 \[m{{s}^{-2}}\]. Its amplitude in metre is
question_answer57) Two wires of same material and same diameter have lengths in the ratio 2:5. They are stretched by same force. The ratio of work done in stretching them is
question_answer58) A light wave and a sound wave have same frequency\[f\]and their wavelengths are respectively \[{{\lambda }_{L}}\]and \[{{\lambda }_{S}}\],then,
question_answer60) What is the voltage gain in a common emitter amplifier when input resistance is 3\[\Omega \] and the load resistance 24\[\Omega \] with \[\beta \] = 60.
question_answer61) Which of the compounds is soluble in cone. \[{{H}_{2}}S{{O}_{4}}\], decolourises \[B{{r}_{2}}\] in \[CC{{l}_{4}}\] and give a white precipitate with \[AgN{{O}_{3}}\]in \[N{{H}_{3}}\] but does not give a precipitate with \[AgN{{O}_{3}}\]in alcohol?
question_answer65) \[{{C}_{60}}\](bucky ball) is cubic closest packed (face centred cubic) in its crystalline form. If you insert potassium atoms into all the tetrahedral and octahedral holes of the \[{{C}_{60}}\]structure, the formula would become\[{{K}_{x}}{{C}_{60}}\]. What is the value of x?
question_answer66) 1.0 g of a weak monobasic acid (HA) when dissolved in 150 mL water lowers the freezing point by 0.186° C. Also 1.0 g of the same acid required 125 mL of a 0.10N NaOH solution for complete neutralisation. Determine dissociation constant (\[{{k}_{a}}\]) of the weak acid. \[{{k}_{f}}\]of water is 1.86K kg \[mo{{l}^{-1}}\]
question_answer67) The standard electrode potentials of the electrodes \[C{{u}^{2+}}/Cu\] and \[A{{g}^{+}}/Ag\]are 0.337 and 0.799 V respectively. What would be the concentration of \[A{{g}^{+}}\]ion in solution containing 0.06 M \[C{{u}^{2}}^{+}\] ion such that both metals can be deposited together?
question_answer68) A solution containing equimolar amounts of \[NiC{{l}_{2}}\] and \[SnB{{r}_{2}}\] is electrolysed using a 9V battery and graphite electrodes. What are the first products formed?
question_answer72) In the following reaction, \[2{{H}_{2}}S+S{{O}_{2}}\to 2{{H}_{2}}O+3S\] 1mol each of \[S{{O}_{2}}\]and \[{{H}_{2}}S\] will give sulphur
question_answer75) \[N{{O}_{2}}\] is involved in the production of one of the most unpleasant of all chemicals present in photochemical smog. It is known as
question_answer76) The number of moles of \[KMn{{O}_{4}}\]that will be needed to react completely with one mole of ferrous oxalate in acidic solution is
question_answer81) The \[p{{K}_{a}}\]of phenol is 9.2. Predict which of the following \[p{{K}_{a}}\] values given below is most consistent for the \[p{{K}_{a}}\] of para- hydroxy benzaldehyde?
question_answer87) A person, with body temperature of 310 K, was sliding with considerable friction, down a mountain whose temperature was 277K. Which of the following sets of signs of entropy change is correct? \[\Delta S\](system) \[\Delta S\](surroundings) \[\Delta S\](total)
question_answer89) The equilibrium constant for the isomerisation of butane at25° C is \[{{K}_{c}}\]= 8 Butane \[\to \] Isobutane If 5.8 g butane is introduced into a 12.5 L vessel at 25° C. What mass of isobutane will be present at equilibrium?
question_answer91) Pyrite, \[Fe{{S}_{2}}\] crystallises in a cubic unit cell with a cell edge of 0.540 nm. The density of pyrite is 5.02\[g/c{{m}^{2}}\]. How many \[F{{e}^{2+}}\]and \[S_{2}^{2-}\] ions are present in a single unit cell? \[(S=32,Fe=56u)\]
question_answer92) If the energy of a photon is plotted on the vertical axis versus the reciprocal of the wavelength (\[1/\lambda \]) on the horizontal axis, the result would be
A)
a curve representing an inverse parabola (hyperbola)
question_answer94) Which of the following refers to particularly stable arrangements of amino acid residues in a protein that give rise to recurring patterns?
question_answer97) 200 mL of \[{{N}_{2}}\] at 25° C and 250 mm of Hg are mixed with 350 mL of \[{{O}_{2}}\]at 25° C and 300 mm of \[Hg\] in a vessel of capacity 300\[mL\]. Calculate the final pressure of mixture at 25° C.
question_answer101) Henry's law constant for the molality of methane in benzene at 298 K is \[4.27\times {{10}^{5}}\]mm Hg. Calculate the solubility of methane in benzene at 298 K under 760 mm Hg.
question_answer103) The rate of a gaseous reaction is equal to\[k[A][B]\]. The volume of the reaction vessel containing these gases is reduced by one-fourth of the initial volume. The rate of the reaction would be
A)
\[\frac{1}{16}\]
doneclear
B)
\[\frac{16}{1}\]
doneclear
C)
\[\frac{1}{8}\]
doneclear
D)
\[\frac{8}{1}\] Rate (r) = k [A] [B] = kab When volume is reduced by one fourth the concentration becomes 4 times. Hence, \[r'=k(4a)(4b)=16\,kab\] \[\therefore \] \[r'16\,r\]
question_answer105) The following is a graph plotted between the vapour pressure of two volatile liquids against their respective mode fractions. Which of the following statement is/are correct?
A)
When \[{{\chi }_{A}}=1\] and\[{{\chi }_{B}}=0,\] then \[p=p_{A}^{\circ }\]
doneclear
B)
When \[{{\chi }_{B}}=1\] and\[{{\chi }_{A}}=0,\] then \[p=p_{B}^{\circ }\]
doneclear
C)
When \[{{\chi }_{A}}=1\]and\[{{\chi }_{B}}=0,\] then \[p<p_{B}^{\circ }\]
doneclear
D)
When \[{{\chi }_{B}}=1\] and\[{{\chi }_{A}}=0,\] then \[p>p_{A}^{\circ }\]
question_answer110) The rate constant of the chemical reaction doubled for an increase of 10 K in absolute temperature from 295 K. Calculate\[{{E}_{a}}\].
question_answer131) Match correctly the class of phylum?Arthropod with their diagnostic trait of column I and column II respectively. Then option correct answer from codes mentioned below
Column I
Column II
(A) Hexapoda
(1) Body is divided into head and trunk
(B) Myriapoda
(2) Body is divided into head, thorax and abdomen
(C) Crustacea
(3) Body is divided prosoma, mesosoma and metasoma
(D) Arachnida
(4) Head and thorax fuses to Form cephalothorax covered by chitinous shield called carapace
question_answer133) Recently Indian Government has given permission to mix alcohol in fossil fuel-petrol, which is called as gasohol. What amount of alcohol has been permitted to mix?
question_answer135) An ecosystem which can be easily ruined/damaged but can recover after some time if damaging effect stops. The ecosystem is characterised by having
question_answer149) Radioactive \[{{C}^{14}}\]is given to \[C{{O}_{2}}\]and released to atmosphere. This \[C{{O}_{2}}\]is taken by ribellous diphosphate in a \[{{C}_{3}}\]plant. First radioactive \[{{C}^{14}}\]is seen in which compound?
question_answer173) A test cross (cross between \[{{F}_{1}}\]hybrid progeny and parents either male (dominant) or female recessive) is performed to distinguish between
A)
two homozygous forms
doneclear
B)
two heterozygous forms
doneclear
C)
a homozygous dominant and a heterozygous recessive form
doneclear
D)
a homozygous recessive and heterozygous dominant form
question_answer179) An egg cell has 5 picogram of genetic material in its nucleus. How much amount of this material will be in the organism at the end of \[{{G}_{2}}\]-phase mitosis?
question_answer191) One of the parents of a cross has mutation in its mitochondria. In that cross, the parent is taken as male. During segregation of \[{{F}_{2}}\] progenies that mutation is found in