question_answer 1) A body is vibrating in simple harmonic motion with amplitude of 0.06 m and frequency of 15 Hz. The maximum velocity and acceleration of the body is:
A)
9.80 m/s and \[9.03\,\times {{10}^{2}}\,m/{{s}^{2}}\]
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B)
8.90 m/s and \[8.21\times {{10}^{2}}\,m/{{s}^{2}}\]
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C)
6.82 m/s and \[7.62\times {{10}^{2}}\,m/{{s}^{2}}\]
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D)
5.65 m/s and \[5.32\,\times {{10}^{2}}\,m/{{s}^{2}}\]
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question_answer 2) A motor cycle is travelling on a curved track of radius 500 m. If the coefficient of friction between tyres and road is 0.5 with \[g=10\,m/{{s}^{2}},\] what should be the maximum speed to avoid skidding?
A)
10 m/s
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B)
50 m/s
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C)
250 m/s
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D)
500m/s
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question_answer 3) If the equation of motion of standing wave is \[y=0.3\sin \] \[(314t-1.57x),\]the velocity of standing wave is :
A)
400 unit
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B)
250 unit
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C)
200 unit
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D)
150 unit
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question_answer 4) On producing the waves of frequency 1000 Hz in a Kundts tube, the total distance between 6 L successive nodes is 85 cm. Speed of sound in the gas filled in the tube is:
A)
300 m/s
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B)
350 m/s
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C)
340 m/s
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D)
330 m/s
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question_answer 5) A spring is vibrating with frequency under same mass. If it is cut into two equal pieces and same mass is suspended, then the new frequency will be:
A)
\[n\sqrt{2}\]
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B)
\[\frac{n}{\sqrt{2}}\]
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C)
\[\frac{n}{2}\]
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D)
n
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question_answer 6) Diamagnetic substances are:
A)
strongly repelled by magnets
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B)
feebly repelled by magnets
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C)
feebly attracted by magnets
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D)
strongly attracted by magnets
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question_answer 7) The study of the effects associated with electric field at rest is known as:
A)
electrostatics
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B)
electromagnetism
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C)
magnetostatics
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D)
none of these
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question_answer 8) For driving current of 2 A for 6 min in a circuit, 1000 J of work is to be done. The emf of the source in the circuit is:
A)
1.38V
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B)
1.68V
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C)
2.03V
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D)
3.10V
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question_answer 9) A current carrying wire in the neighborhood produces:
A)
electric and magnetic fields
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B)
magnetic field only
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C)
no field
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D)
electric field
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question_answer 10) A resonance air column of length 20 cm resonates with a tuning fork of frequency 250 Hz. The speed of the air is:
A)
75 m/s
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B)
150 m/s
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C)
200 m/s
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D)
300 m/s
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question_answer 11) An iron rod of length 2 m and cross-sectional area of \[50\,m{{m}^{2}}\] is stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Youngs modulus of iron rod is:
A)
\[19.6\,\times {{10}^{20}}\,N/{{m}^{2}}\]
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B)
\[19.6\,\times {{10}^{18}}\,N/{{m}^{2}}\]
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C)
\[19.6\,\times {{10}^{10}}\,N/{{m}^{2}}\]
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D)
\[19.6\,\times {{10}^{15}}\,N/{{m}^{2}}\]
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question_answer 12) Frequency of infrared wave is approximately:
A)
\[{{10}^{18}}Hz\]
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B)
\[{{10}^{14}}Hz\]
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C)
\[{{10}^{9}}Hz\]
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D)
\[{{10}^{16}}Hz\]
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question_answer 13) A wire has resistance of 3.1\[\Omega\] at \[30{}^\circ C\] and resistance 4.5\[\Omega \] at 100°C. The temperature coefficient of resistance of the wire is :
A)
\[{{0.0012}^{0}}{{C}^{-1}}\]
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B)
\[{{0.0024}^{0}}{{C}^{-1}}\]
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C)
\[{{0.0032}^{0}}{{C}^{-1}}\]
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D)
\[{{0.0064}^{0}}{{C}^{-1}}\]
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question_answer 14) If the current through 3\[\Omega \] resistor is 0.8 A, then potential drop through 4 \[\Omega \] resistor is:
A)
\[\text{1}\text{.2V}\]
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B)
\[\text{2}\text{.6V}\]
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C)
\[\text{4}\text{.8V}\]
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D)
\[\text{9}\text{.6V}\]
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question_answer 15) The direction of the null points on the equatorial line of a bar magnet, when the north pole of the magnet is pointing to:
A)
west
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B)
east
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C)
south
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D)
north
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question_answer 16) Two batteries of emf 4 V and 8 V having the internal resistance of \[1\,\Omega \] and \[2\,\Omega \] respectively are connected in circuit with a resistance of \[9\,\Omega \] as shown in a figure. The current and potential difference between the points P and Q are:
A)
\[\frac{\text{1}}{\text{12}}\text{A}\,\,\text{and}\,\text{12}\,\text{V}\]
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B)
\[\frac{\text{1}}{9}\text{A}\,\,\text{and}\,9\,\text{V}\]
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C)
\[\frac{\text{1}}{6}\text{A}\,\,\text{and}\,4\,\text{V}\]
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D)
\[\frac{\text{1}}{3}\text{A}\,\,\text{and}\,3\,\text{V}\]
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question_answer 17) The dimensions of gravitational constant G are:
A)
\[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{\text{3}}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]
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B)
\[\text{ }\!\![\!\!\text{ }{{\text{M}}^{-1}}{{\text{L}}^{2}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]
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C)
\[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{-2}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]
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D)
\[\text{ }\!\![\!\!\text{ }{{\text{M}}^{-1}}{{\text{L}}^{3}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]
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question_answer 18) A 30 g bullet initially travelling at 120 m/s penetrates 12 cm into wooden block. The average resistance exerted by the wooden block is:
A)
1800 N
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B)
2000 N
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C)
2200 N
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D)
2850 N
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question_answer 19) Angle of dip is 90° at:
A)
equator
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B)
middle point
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C)
poles
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D)
none of these
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question_answer 20) Two magnets each of magnetic moment M are placed so as to form a cross at right angles to each other. The magnetic moment of the system will be:
A)
M
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B)
0.5 M
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C)
\[\sqrt{2}\]M
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D)
2M
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question_answer 21) Plate current will be maximum when:
A)
both the grid and anode are negative
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B)
both the grid and anode are positive
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C)
grid is positive and anode is negative
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D)
grid is negative and anode is positive
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question_answer 22) Sodium has body centered packing. Distance between two nearest atoms is \[3.7\,\overset{\text{o}}{\mathop{\text{A}}}\,\]. The lattice parameter is:
A)
\[4.9\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
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B)
\[4.3\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
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C)
\[3.8\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
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D)
\[3.4\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
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question_answer 23) The instrument used to measure the temperature of the source from its thermal radiation is :
A)
hydrometer
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B)
barometer
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C)
thermopile
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D)
pyrometer
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question_answer 24) Which of the following are not the transvene waves?
A)
Sound waves
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B)
Visible light waves
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C)
X-rays
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D)
\[\gamma \]-rays
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question_answer 25) The displacement x of a particle moving along a straight line at time t is given by \[x={{a}_{0}}+{{a}_{1}}t+{{a}_{2}}{{t}^{2}}\] The acceleration of the particle is:
A)
\[4{{a}_{2}}\]
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B)
\[2{{a}_{2}}\]
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C)
\[2{{a}_{1}}\]
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D)
\[{{a}_{2}}\]
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question_answer 26) A bomb is dropped from an aeroplane moving horizontally at constant speed. If air resistance is taken into consideration, then the bomb:
A)
falls on earth exactly below the aeroplane
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B)
falls on the earth exactly behind the aeroplane
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C)
falls on the earth ahead of the aeroplane
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D)
flies with the aeroplane
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question_answer 27) In a p -type semiconductor germanium is doped with:
A)
aluminium
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B)
boron
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C)
gallium
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D)
all of these
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question_answer 28) Boolean algebra is essentially based on:
A)
numbers
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B)
symbol
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C)
logic
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D)
truth
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question_answer 29) When a bus suddenly takes a turn, the passengers are thrown outwards because of:
A)
speed of motion
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B)
inertia of motion
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C)
acceleration of motion
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D)
none of the above
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question_answer 30) The logic behind NOR gate is that which gives:
A)
high output when both inputs are high
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B)
low output when both inputs are low
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C)
high output when both inputs are low
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D)
none of the above
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question_answer 31) How can the chromatic aberration be corrected?
A)
By providing different suitable curvature to its two surfaces
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B)
By combining it with another lens of opposite nature
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C)
By reducing its aperture
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D)
By providing proper polishing of its two surfaces
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question_answer 32) Which one of the following is not dependent on the intensity of incident photon in a photoelectric experiment?
A)
Work function of the surface
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B)
Number of photoelectrons
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C)
Stopping potential
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D)
Amount of photoelectric current
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question_answer 33) If red light and violet light rays are of focal lengths \[{{f}_{R}}\] and \[{{f}_{V,}}\] then which one of the following is true ?
A)
\[{{\lambda }_{R}}\le {{\lambda }_{V}}\]
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B)
\[{{\mu }_{R}}>{{\mu }_{V}}\]
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C)
\[{{\lambda }_{R}}={{\lambda }_{V}}\]
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D)
\[{{\mu }_{R}}<{{\mu }_{V}}\]
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question_answer 34) The large scale destruction, that would be caused due to the use of nuclear weapons is known as:
A)
neutron reproduction factor
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B)
nuclear holocaust
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C)
thermonuclear reaction
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D)
none of the above
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question_answer 35) If in Ramsdens eyepiece, the field lenses have focal lengths \[{{f}_{1}}\] and \[{{f}_{2}}\] respectively and separated by a distance d then :
A)
\[{{f}_{1}}=3{{f}_{2}}and\,d={{f}_{1}}+{{f}_{2}}\]
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B)
\[{{f}_{1}}={{f}_{2}}and\,d=\frac{2}{3}{{f}_{1}}\]
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C)
\[{{f}_{1}}=\frac{2}{3}{{f}_{2}}and\,d=\frac{2}{3}{{f}_{1}}\]
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D)
\[{{f}_{1}}={{f}_{2}}and\,d={{f}_{1}}+{{f}_{2}}\]
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question_answer 36) Huygens wave theory of light could not explain:
A)
photoelectric effect
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B)
polarization
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C)
diffraction
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D)
interference
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question_answer 37) The rain drops are spherical in shape due to:
A)
residual pressure
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B)
thrust on drop
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C)
surface tension
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D)
viscosity
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question_answer 38) The work done in pulling up a block of wood weighing 2 kN for a length of 10 m on a smooth plane inclined at an angle of 15° with the horizontal is:
A)
9.82 kJ
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B)
8.91 kJ
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C)
5.17 kJ
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D)
4.36 kJ
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question_answer 39) The thermions are:
A)
positrons
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B)
photons
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C)
electrons
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D)
protons
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question_answer 40) The internal resistance of cell of emf 2 V is\[0.1\,\Omega .\] It is connected to a resistance of 3.9 \[\Omega .\] The voltage across the cell is:
A)
2.71 V
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B)
1.95 V
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C)
1.68 V
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D)
0.52 V
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question_answer 41) The earth of mass \[6\times {{10}^{24}}\] kg revolves around the sun with an angular velocity of \[2\times {{10}^{-7}}rad/s\]. In a circular orbit of radius \[1.5\times {{10}^{8}}\,km,\] the force exerted by the sun, on the earth is:
A)
\[\text{27 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{39}}}\text{N}\]
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B)
\[\text{36 }\!\!\times\!\!\text{ 1}{{\text{0}}^{21}}\text{N}\]
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C)
\[\text{18 }\!\!\times\!\!\text{ 1}{{\text{0}}^{25}}\text{N}\]
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D)
\[\text{6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{19}}\text{N}\]
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question_answer 42) A stone is thrown with an initial speed of 4.9 m/s from a bridge in vertically upward direction. It falls down in water after 2 s. The height of the bridge is:
A)
24.7 m
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B)
19.8 m
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C)
9.8 m
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D)
4.9 m
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question_answer 43) A ball of mass 150g moving with an acceleration \[20\,m/{{s}^{2}}\] is hit by a force, which acts, on it for 0.1 s. The impulsive force is:
A)
1.2N-s
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B)
0.3 N-s
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C)
0.1 N-s
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D)
0.5 N-s
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question_answer 44) If the heat of 110 J is added to a gaseous system, whose internal energy is 40 J, then the amount of external work done is:
A)
80 J
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B)
70 J
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C)
115 J
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D)
140 J
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question_answer 45) The substance in which the magnetic moment of a single atom is not zero, is called as:
A)
ferrimagnetism
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B)
paramagnerism
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C)
ferromagnetism
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D)
diamagnetism
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question_answer 46) The luminous efficiency of a lamp is 4 lumen/W and its luminous intensity is 30 Cd The power of lamp is:
A)
60 W
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B)
78 W
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C)
94 W
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D)
136 W
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question_answer 47) The transfer ratio \[\] of a transistor is 50. The input resistance of the transistor when used in the common-emitter configuration is 1 \[\Omega \]. The peak value of the collector AC current for an AC input voltage of 0.01 V, is:
A)
500 \[\text{A}\]
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B)
0.25\[\text{A}\]
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C)
0.01 \[\text{A}\]
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D)
100 \[\text{A}\]
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question_answer 48) Two vectors \[\mathbf{\vec{A}}\] and \[\mathbf{\vec{B}}\] are such that\[\mathbf{\vec{A}}\,\mathbf{\vec{B}}=\mathbf{\vec{C}}\] and \[{{A}^{2}}+{{B}^{2}}={{C}^{2}}.\] If \[\theta \] is the angle between \[\mathbf{\vec{A}}\] and \[\,\mathbf{\vec{B}}\] then correct statement is:
A)
\[\theta =\pi \]
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B)
\[\theta =\frac{2\pi }{3}\]
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C)
\[\theta =0\]
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D)
\[\theta =\frac{\pi }{2}\]
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question_answer 49) A rough vertical board has an acceleration \[a\] along the horizontal, so that a block of mass M pressing against it does not fall. The coefficient of friction between block and the board is:
A)
\[>\frac{a}{g}\]
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B)
\[<\frac{g}{a}\]
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C)
\[=\frac{a}{g}\]
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D)
\[>\frac{g}{a}\]
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question_answer 50) An aeroplane is moving with a horizontal velocity u at a height h. The velocity of packet dropped from it on the earths surface will be:
A)
\[\sqrt{{{u}^{2}}-2gh}\]
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B)
\[2gh\]
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C)
\[\sqrt{2gh}\]
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D)
\[\sqrt{{{u}^{2}}+2gh}\]
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question_answer 51) Which of the following having highest number of molecules?
A)
\[16g\,{{O}_{2}}\]
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B)
\[14\,g\,{{N}_{2}}\]
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C)
\[2g\,{{H}_{2}}\]
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D)
\[6\,g\,{{I}_{2}}\]
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question_answer 52) The size of isoelectronic ions depends on:
A)
ionization energy
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B)
nuclear charge
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C)
ionic radius
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D)
covalent radius
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question_answer 53) At constant temperature the pressure of a gas is increased to three times, then its volume becomes:
A)
\[\frac{V}{3}\]
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B)
\[\frac{2}{3}V\]
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C)
\[3\,V\]
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D)
none of these
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question_answer 54) Find the temperature of hydrogen gas which has the same velocity as that of oxygen at a temperature of \[0{{\,}^{o}}C:\]
A)
\[273\div 16\text{ }K\]
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B)
\[~273\times 8\,K\]
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C)
\[273\div 32K\]
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D)
\[273\times 4\,K\]
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question_answer 55) What is the bond order in case of\[O_{2}^{+}\]?
A)
2.5
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B)
2
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C)
1.5
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D)
3
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question_answer 56) Lindlars catalyst is:
A)
\[Pd\] supported over \[\text{BaC}{{\text{O}}_{\text{3}}}\]
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B)
Hg supported over \[PbS{{O}_{4}}\]
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C)
Ni supported over\[~CuS{{O}_{4}}\]
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D)
Ni supported over \[CdS{{O}_{4}}\]
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question_answer 57) In\[s{{p}^{3}}d\]-hybridisation, the \[d-\]orbital that participate in hybridisation is:
A)
\[dxy\]
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B)
\[dxz\]
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C)
\[d{{x}^{2}}-{{y}^{2}}\]
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D)
\[d{{z}^{2}}\]
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question_answer 58) Which of the following is correct in the reaction? \[{{H}_{2}}(g)+{{I}_{2}}(g)\xrightarrow{{}}2HI(g)\]
A)
\[{{K}_{p}}={{K}_{c}}\]
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B)
\[{{K}_{p}}>{{K}_{c}}\]
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C)
\[{{K}_{p}}<{{K}_{c}}\]
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D)
None of these
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question_answer 59) A \[CaC{{O}_{3}}\]sample contains \[3.01\times {{10}^{23}}\] ions of \[\overset{2+}{\mathop{Ca}}\,\]and \[C{{O}_{3}}^{2-}.\]The mass of sample is:
A)
40
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B)
50
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C)
60
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D)
70
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question_answer 60) The increasing order for the value of charge/mass for electron (e), proton (p), neutron (n) and alpha particle \[(\alpha )\] is:
A)
\[e<p<n<a\]
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B)
\[~n<p<e<\alpha \]
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C)
\[n<p<\alpha <e\]
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D)
\[n<\alpha <p<e\]
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question_answer 61) The bond order of \[{{O}_{2}}^{-}\]is:
A)
1
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B)
zero
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C)
1.5
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D)
2
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question_answer 62) d and \[l\]tartaric adds are:
A)
enantiomers
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B)
tautomers
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C)
mesomers
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D)
diastereomers
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question_answer 63) In the reaction, \[2C(s)+{{O}_{2}}(g)2CO\,(g)\] the partial pressure of CO and \[{{O}_{2}}\]is 8 atm and 4 atm respectively, then find its equilibrium constant:
A)
16
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B)
24
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C)
8
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D)
2
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question_answer 64) Which is the correct electronic configuration of Cr (chromium)?
A)
\[1{{s}^{2}}\text{ }2{{s}^{2}}\text{ }2{{p}^{6}}\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{1}}\text{ }3{{d}^{5}}\]
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B)
\[1{{s}^{2}}\text{ }2{{s}^{2}}\text{ }2{{p}^{6}}\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{2}}\text{ }3{{d}^{4}}\]
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C)
\[1{{s}^{2}}\text{ }2{{s}^{2}}\text{ }2{{p}^{6}}\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{2}}\text{ }3{{d}^{6}}\]
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D)
\[1{{s}^{2}}\text{ }2{{s}^{2}}\text{ }2{{p}^{6}}\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{1}}\text{ }3{{d}^{8}}\]
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question_answer 65) If heat of neutralization of \[\text{C}{{\text{H}}_{\text{3}}}\text{COOH}\]and \[NaOH\] is \[-\,50.6\text{ kJ}\]equivalent and the heat of neutralization of \[\text{N}{{\text{H}}_{\text{4}}}\text{OH}\]and \[\text{HCl}\]is \[-51.4\text{ kJ}\]equivalent then the heat of neutralization of \[\text{C}{{\text{H}}_{\text{3}}}\text{COOH}\]and \[\text{N}{{\text{H}}_{\text{4}}}\text{OH}\]is:
A)
\[\text{ }\!\!~\!\!\text{ 102}\,\text{k J}\]
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B)
\[-0.8\text{ kJ}\]
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C)
\[0.8\text{ kJ}\]
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 66) At \[25{{\,}^{o}}C\,{{K}_{a}}\]for\[~C{{H}_{3}}COOH\] is\[~1.8\times {{10}^{-5}}\]and \[{{K}_{b}}\]for \[\text{N}{{\text{H}}_{\text{4}}}\text{OH}\]is also \[\text{1}\text{.8}\times {{10}^{-5}}.\]The nature of aqueous solution of \[\text{C}{{\text{H}}_{\text{3}}}\text{COON}{{\text{H}}_{\text{4}}}\]is:
A)
neutral
done
clear
B)
basic
done
clear
C)
acidic
done
clear
D)
amphoteric
done
clear
View Answer play_arrow
question_answer 67) On bombarding \[{{\,}_{7}}{{N}^{14}}\] with \[\alpha -\]particles, the nuclei of the product formed after the release of a proton is:
A)
\[{{\,}_{8}}{{O}^{17}}\]
done
clear
B)
\[{{\,}_{8}}{{O}^{18}}\]
done
clear
C)
\[{{\,}_{9}}{{F}^{7}}\]
done
clear
D)
\[{{\,}_{9}}{{F}^{18}}\]
done
clear
View Answer play_arrow
question_answer 68) Coordination number and oxidation number of Cr in \[{{K}_{3}}Cr{{({{C}_{2}}{{O}_{4}})}_{3}}\]are respectively:
A)
6 and \[+\,3\]
done
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B)
4 and\[-\,2\]
done
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C)
3 and 0
done
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D)
3 and\[+\,3\]
done
clear
View Answer play_arrow
question_answer 69) Thermite is a mixture of:
A)
\[MgO+Al\]
done
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B)
\[F{{e}_{3}}{{O}_{4}}+Al\]
done
clear
C)
\[Zn+CaC{{O}_{3}}\]
done
clear
D)
\[Zn+{{P}_{2}}{{O}_{5}}\]
done
clear
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question_answer 70) Geometrical isomerism is shown by:
A)
done
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B)
done
clear
C)
done
clear
D)
done
clear
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question_answer 71) The oxidation state of sulphur in \[{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\text{:}\]
A)
\[+\,6\]
done
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B)
\[~+\,4\]
done
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C)
\[~+\,2\]
done
clear
D)
\[+\,3\]
done
clear
View Answer play_arrow
question_answer 72) For detection of sulphur in an organic compound, sodium nitroprusside is added to the Lassaignes filtrate the ppt. obtained is:
A)
purple colour
done
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B)
black colour
done
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C)
blood-red colour
done
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D)
white colour
done
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question_answer 73) Which of the following is correct for \[{{\,}^{60}}Co\xrightarrow{-{{\beta }^{-}}}?\]
A)
\[{{\,}^{61}}Co\]
done
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B)
\[{{\,}^{60}}Ni\]
done
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C)
\[{{\,}^{59}}Ni\]
done
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D)
\[{{\,}^{60}}Cu\]
done
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View Answer play_arrow
question_answer 74) Which of the following is not linear?
A)
\[BeC{{l}_{2}}\]
done
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B)
HCN
done
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C)
\[~ZnC{{l}_{2}}\]
done
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D)
\[{{H}_{2}}O\]
done
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View Answer play_arrow
question_answer 75) Which of the following compound is optically active?
A)
\[C{{H}_{3}}C{{H}_{2}}COOH\]
done
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B)
\[C{{H}_{3}}CHOHCOOH\]
done
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C)
\[HOOC.C{{H}_{2}}.COOH\]
done
clear
D)
\[C{{H}_{3}}.CO.COOH\]
done
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View Answer play_arrow
question_answer 76) The boiling point of phenols are higher than the hydrocarbons of comparable masses due to:
A)
more polarizing power
done
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B)
presence of hydrogen bonding
done
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C)
resonance stabilization
done
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D)
acidic character
done
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question_answer 77)
The product obtained is:
A)
benzoic acid
done
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B)
benzaldehyde
done
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C)
salicylaldehyde
done
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D)
salicylic acid
done
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View Answer play_arrow
question_answer 78) The reduction of aldehyde and .ketones to the corresponding hydrocarbons with amalgamated zinc and concentrated\[\text{HCl}\] is called:
A)
Wolff-Kishner reduction
done
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B)
Clemmensen reduction
done
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C)
Coupling reduction
done
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D)
Cross- Cannizaro reaction
done
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View Answer play_arrow
question_answer 79) The enthalpy and entropy change for a reaction is \[-2.\text{ }5\times {{10}^{3}}\,\text{cal}\] cat and \[7.4\text{ cal de}{{\text{g}}^{-1}}\]respectively. At 298 K the reaction is:
A)
reversible
done
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B)
irreversible
done
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C)
spontaneous
done
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D)
non-spontaneous
done
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View Answer play_arrow
question_answer 80) The energy of an electron in the first Bohr orbit is \[-\text{13}\text{.6 eV,}\] then find the energy of \[\text{H}{{\text{e}}^{\text{+}}}\]in the same Bohr orbit:
A)
\[27.2\,eV\]
done
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B)
\[-27.2\,\,eV\]
done
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C)
\[54.4\,eV\]
done
clear
D)
\[54.4\,eV\]
done
clear
View Answer play_arrow
question_answer 81) Aldehydes and ketones can be distinguished by:
A)
Tollens reagent
done
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B)
2, 4 DNP test
done
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C)
Molisch test
done
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D)
Mullikans test
done
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View Answer play_arrow
question_answer 82) The electrical conductance is shown by:
A)
sodium
done
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B)
diamond
done
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C)
graphite
done
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D)
potassium
done
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question_answer 83) The largest number of molecules are present in:
A)
\[5g\,N{{H}_{3}}\]
done
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B)
\[11\,g\,C{{O}_{2}}\]
done
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C)
\[8\,gS{{O}_{2}}\]
done
clear
D)
\[~4\,g\,{{H}_{2}}\]
done
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View Answer play_arrow
question_answer 84) The splitting of spectral lines under the influence of magnetic field is known as:
A)
Zeeman effect
done
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B)
photoelectric effect
done
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C)
Stark effect
done
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D)
electromagnetic effect
done
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View Answer play_arrow
question_answer 85) Write the product: \[\underset{C{{H}_{2}}OH}{\mathop{\underset{|}{\mathop{C{{H}_{2}}OH}}\,}}\,\xrightarrow{HI{{O}_{4}}}\]
A)
formaldehyde
done
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B)
acetaldehyde
done
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C)
formic acid
done
clear
D)
acetic acid
done
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question_answer 86) lonization energy of hydrogen is:
A)
slightly higher than chlorine
done
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B)
much higher than chlorine
done
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C)
lesser than chlorine
done
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D)
equal to chlorine
done
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question_answer 87) In LPG gas the main constituent of the gas is:
A)
ethane
done
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B)
methane
done
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C)
butane
done
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D)
propane
done
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question_answer 88) Which plays a major role in the formation of complex compound?
A)
Transition metal
done
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B)
Lanthanides and actinides
done
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C)
Representative elements
done
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D)
p-block element
done
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View Answer play_arrow
question_answer 89) The conjugate base of \[{{\text{H}}_{\text{2}}}\text{PO}_{4}^{-}\]is:
A)
\[{{H}_{3}}P{{O}_{4}}\]
done
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B)
\[HP{{O}_{4}}^{2-}\]
done
clear
C)
\[P{{O}_{4}}^{3-}\]
done
clear
D)
\[{{H}_{2}}PO{{ }_{3}}^{-}\]
done
clear
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question_answer 90)
The product obtained from:
A)
done
clear
B)
done
clear
C)
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 91) Benzaldehyde on treatment with ethanolic KCN produce:
A)
\[{{C}_{6}}{{H}_{5}}COCO{{C}_{6}}{{H}_{5}}\]
done
clear
B)
\[{{C}_{6}}{{H}_{5}}CHOHCN\]
done
clear
C)
\[{{C}_{6}}{{H}_{5}}CHOHCOOH\]
done
clear
D)
\[{{C}_{6}}{{H}_{5}}CHOHCO{{C}_{6}}{{H}_{5}}\]
done
clear
View Answer play_arrow
question_answer 92) When aniline is warm with \[\text{CHC}{{\text{l}}_{\text{3}}}\]and alc. KOH, it forms a compound which having offensive smell, the compound formed is:
A)
done
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B)
done
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C)
done
clear
D)
done
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View Answer play_arrow
question_answer 93) The formation of large number of compounds of carbon is due to its:
A)
non-metallic nature
done
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B)
catenation character
done
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C)
high ionization potential
done
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D)
four valency
done
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View Answer play_arrow
question_answer 94) Orthophosphoric acid is:
A)
monobasic
done
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B)
dibasic
done
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C)
tribasic
done
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D)
tetrabasic
done
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View Answer play_arrow
question_answer 95) The volume strength of \[\text{1}\text{.5}\,\text{(N)}\,{{\text{H}}_{\text{2}}}{{\text{O}}_{\text{2}}}\]solution is:
A)
4.8
done
clear
B)
8.4
done
clear
C)
3
done
clear
D)
8
done
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question_answer 96) A gas has a vapour density 11.2. The volume occupied by 1 g of gas at NTP is:
A)
1 L
done
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B)
11.2 L
done
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C)
22.4 L
done
clear
D)
unpredictable
done
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question_answer 97) What is the rate of a reaction in a first order reaction, if its half life period is 693 s and its concentration is\[\text{2 mol/L}\]?
A)
100
done
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B)
0.002
done
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C)
0.02
done
clear
D)
200
done
clear
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question_answer 98)
Write the product formed in the reaction:
A)
done
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B)
done
clear
C)
done
clear
D)
done
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question_answer 99) The most radioactive element is:
A)
radium
done
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B)
uranium
done
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C)
polonium
done
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D)
thorium
done
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question_answer 100) A compound contains 38.8% C, 16% H and 45.2% N. The empirical formula of the compound will be:
A)
\[C{{H}_{5}}N\]
done
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B)
\[{{C}_{2}}{{H}_{5}}N\]
done
clear
C)
\[CHN\]
done
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D)
\[C{{H}_{10}}{{N}_{2}}\]
done
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View Answer play_arrow
question_answer 101) The minimum value of n for\[{{\left( \frac{1+i}{1-i} \right)}^{n}}=1,\] where \[i=\sqrt{-1}\] is:
A)
2
done
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B)
4
done
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C)
6
done
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D)
3
done
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question_answer 102) Find the value of \[\sqrt{6+\sqrt{6}+\sqrt{6...\infty }}:\]
A)
2
done
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B)
3
done
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C)
\[-\,4\]
done
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D)
6
done
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question_answer 103) If \[\arg \,\left( \frac{z-1}{z+1} \right)=\frac{\pi }{3},\]then given locus represent a:
A)
straight line
done
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B)
circle
done
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C)
parabola
done
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D)
ellipse
done
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View Answer play_arrow
question_answer 104) If \[{{z}_{k}}=\cos \frac{\theta }{{{2}^{k}}}+i\sin \frac{\theta }{{{2}^{k}}}\]where\[k=1,2,3,....,\]and \[\theta =2n\pi ,n\in \operatorname{I},\]then \[{{z}_{1}},{{z}_{2}},{{z}_{3}},....\infty \]is equal to
A)
0
done
clear
B)
1
done
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C)
\[-1\]
done
clear
D)
\[i\]
done
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View Answer play_arrow
question_answer 105) \[{{(sin\theta +cos\theta )}^{4}}\]is equal to:
A)
\[\sin 4\,\theta +i\cos 4\,\theta \]
done
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B)
\[\sin 4\,\theta -i\sin 2\theta \]
done
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C)
0
done
clear
D)
none of these
done
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question_answer 106) The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100 m from its base is \[\text{4}{{\text{5}}^{\text{o}}}\text{.}\] If the angle of elevation of the top of the complete pillar at the same point is to be 60°, then the height of the incomplete pillar is to be increased by:
A)
\[\text{50}\sqrt{3}\,m\]
done
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B)
\[100\,m\]
done
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C)
\[100(\sqrt{3}-1)\,m\]
done
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D)
\[100(\sqrt{3}+1)\,m\]
done
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question_answer 107) If \[{{x}^{2}}+{{y}^{2}}=25,xy=12,\]then \[x\]is equal to:
A)
\[3,4\]
done
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B)
\[3,-3\]
done
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C)
\[3,4,-3,-4\]
done
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D)
\[~-3,-3\]
done
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View Answer play_arrow
question_answer 108) If \[b+c,c+a,a+b\]are in HP, then \[{{a}^{2}},{{b}^{2}},{{c}^{2}}\]are in:
A)
AP
done
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B)
HP
done
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C)
GP
done
clear
D)
none of these
done
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View Answer play_arrow
question_answer 109) Series\[\frac{1}{1!(n-1)}+\frac{1}{3!(n-3)!}+\frac{1}{5!(n-5)!}+...\]is equal to:
A)
\[\frac{{{2}^{n}}}{n!}\]
done
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B)
\[\frac{{{2}^{n-1}}}{n!}\]
done
clear
C)
0
done
clear
D)
none of these
done
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question_answer 110) The number of terms in the expansion of \[{{(a+b+c)}^{n}}\]will be:
A)
\[n+1\]
done
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B)
\[n+3\]
done
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C)
\[\frac{(n+1)\,(n+2)}{2}\]
done
clear
D)
none of these
done
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question_answer 111) If the equation \[{{x}^{2}}-4x+2(m+1)=0\]has real roots, then the value of \[m\] lies in the interval:
A)
\[-2\le m\le 1\]
done
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B)
\[-1\le m\le 1\]
done
clear
C)
\[2<m<3\]
done
clear
D)
none of these
done
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question_answer 112) If \[{{x}^{2}}+ax+\beta =0\]and \[{{x}^{2}}+px+q=0\] has a common roof, then the common root is:
A)
\[\frac{q+\beta }{a+p}\]
done
clear
B)
\[\frac{q-\beta }{a+p}\]
done
clear
C)
\[\frac{q-\beta }{a-p}\]
done
clear
D)
none of these
done
clear
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question_answer 113) Equation of the pair of tangents drawn from the origin to the circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\] is:
A)
\[gx+fy=c({{x}^{2}}+{{y}^{2}})\]
done
clear
B)
\[{{(gx+fy)}^{2}}={{x}^{2}}+{{y}^{2}}\]
done
clear
C)
\[{{(gx+fy)}^{2}}={{c}^{2}}({{x}^{2}}+{{y}^{2}})\]
done
clear
D)
\[{{(gx+fy)}^{2}}=c({{x}^{2}}+{{y}^{2}})\]
done
clear
View Answer play_arrow
question_answer 114) The length of transverse axis of the hyperbola \[3{{x}^{2}}-4{{y}^{2}}=32\]is:
A)
\[\frac{8\sqrt{2}}{\sqrt{3}}\]
done
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B)
\[\frac{16\sqrt{2}}{\sqrt{3}}\]
done
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C)
\[\frac{3}{32}\]
done
clear
D)
\[\frac{64}{3}\]
done
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View Answer play_arrow
question_answer 115) The value of coefficient which is independent from \[x\] in\[{{\left( 2x-\frac{3}{{{x}^{2}}} \right)}^{6}},\]is :
A)
\[~-\,2916\]
done
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B)
4860
done
clear
C)
2160
done
clear
D)
none of these
done
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View Answer play_arrow
question_answer 116) The coefficient of \[{{x}^{4}}\] in the expansion of \[{{(1+x+{{x}^{2}}+{{x}^{3}})}^{n}},\] is:
A)
\[{{\,}^{n}}{{C}_{4}}\]
done
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B)
\[{{\,}^{n}}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}\]
done
clear
C)
\[{{\,}^{n}}{{C}_{4}}+{{\,}^{n}}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}\]
done
clear
D)
\[{{\,}^{n}}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}^{n}{{C}_{1}}+{{\,}^{n}}{{C}_{2}}\]
done
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View Answer play_arrow
question_answer 117) In \[\Delta \,ABC,\frac{\cos 2A}{{{a}^{2}}}-\frac{\cos 2B}{{{b}^{2}}}\] is equal to:
A)
\[{{c}^{2}}/{{a}^{2}}{{b}^{2}}\]
done
clear
B)
\[\frac{1}{{{a}^{2}}}-\frac{1}{{{b}^{2}}}\]
done
clear
C)
\[\frac{1}{ab}\]
done
clear
D)
none of these
done
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question_answer 118) If \[A=\left[ \begin{matrix} \cos x & \sin x \\ -\sin x & \cos x \\ \end{matrix} \right],\]then the inverse of A is where n = 1, 2, 3, ?:
A)
\[\left[ \begin{matrix} {{\cos }^{n}}x & {{\sin }^{n}}x \\ -{{\sin }^{n}}x & {{\cos }^{n}}x \\ \end{matrix} \right]\]
done
clear
B)
\[\left[ \begin{matrix} {{\cos }^{2}}nx & {{\sin }^{2}}nx \\ -{{\sin }^{2}}nx & {{\cos }^{2}}nx \\ \end{matrix} \right]\]
done
clear
C)
\[\left[ \begin{matrix} \cos nx & \sin nx \\ -\sin \,nx & \cos \,nx \\ \end{matrix} \right]\]
done
clear
D)
\[\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]\]
done
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question_answer 119) If \[{{A}^{2}}-A+I=0,\]then the inverse of A is:
A)
\[{{A}^{-1}}\]
done
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B)
\[A+I\]
done
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C)
\[I-A\]
done
clear
D)
\[A-I\]
done
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View Answer play_arrow
question_answer 120) Let \[A=\left[ \begin{matrix} 1 & 2 \\ 0 & 1 \\ \end{matrix} \right],\] then \[{{A}^{n}}\]is equal to:
A)
\[\left[ \begin{matrix} 1 & 2n \\ 0 & 2 \\ \end{matrix} \right]\]
done
clear
B)
\[\left[ \begin{matrix} 2 & n \\ 0 & 1 \\ \end{matrix} \right]\]
done
clear
C)
\[\left[ \begin{matrix} 1 & 2n \\ 0 & 1 \\ \end{matrix} \right]\]
done
clear
D)
\[\left[ \begin{matrix} 1 & n \\ 0 & 2 \\ \end{matrix} \right]\]
done
clear
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question_answer 121) In triangle \[ABC,\angle A={{90}^{o}}\]and \[AB=AC\]and the coordinate of B and C are (-3, 6) and (1,2) respectively, then the area of triangle is:
A)
4 sq unit
done
clear
B)
\[4\sqrt{2}\,\]sq unit
done
clear
C)
8 sq unit
done
clear
D)
\[\left( -\frac{1}{5},-\frac{22}{5} \right)\]
done
clear
View Answer play_arrow
question_answer 122) If \[x+2y+1=0,\] then reflection point of \[(3,2)\] is:
A)
\[(1,4)\]
done
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B)
\[(1,-\,4)\]
done
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C)
\[(4,1)\]
done
clear
D)
\[\left( -\frac{1}{5},-\frac{22}{5} \right)\]
done
clear
View Answer play_arrow
question_answer 123) Re \[{{\left( \frac{1+i}{3-i} \right)}^{2}}\] is equal to:
A)
\[-1/5\]
done
clear
B)
\[~1/5\]
done
clear
C)
\[~1/10\]
done
clear
D)
\[~-1/10\]
done
clear
View Answer play_arrow
question_answer 124) Which term of the series \[3+8+13+18+....\] is 498:
A)
95th
done
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B)
100th
done
clear
C)
102th
done
clear
D)
101th
done
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View Answer play_arrow
question_answer 125) If one root of \[5{{x}^{2}}+13x+k=0\] is reciprocal of the other, then k is equal to:
A)
0
done
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B)
5
done
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C)
1/6
done
clear
D)
6
done
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question_answer 126) The point having position vectors \[2\hat{i}+3\hat{j}+4\hat{k},3\hat{i}+4\hat{j}+2\hat{k},4\hat{i}+2\hat{j}+3\hat{k}\] are the vertices of:
A)
right angled triangle
done
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B)
isosceles triangle
done
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C)
equilateral triangle
done
clear
D)
collinear
done
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question_answer 127) If a polygon has 44 diagonals, then the number of its side are:
A)
7
done
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B)
11
done
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C)
8
done
clear
D)
none of these
done
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question_answer 128) \[{{\sin }^{-1}}\frac{3}{5}+{{\tan }^{-1}}\frac{1}{7}\]is equal to:
A)
\[\pi /2\]
done
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B)
\[{{\cos }^{-1}}4/5\]
done
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C)
\[\pi \]
done
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D)
\[\pi /4\]
done
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question_answer 129) Let p be the proposition that mathematics is interesting and let be the proposition that mathematics is difficult, then the symbol \[p\wedge q\] means:
A)
mathematics is interesting, implies that mathematics is difficult
done
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B)
mathematics is interesting implies and is implied by mathematics is difficult
done
clear
C)
mathematics is interesting and mathematics is difficult
done
clear
D)
mathematics is interesting or mathematics is difficult
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View Answer play_arrow
question_answer 130) The statement \[p\vee \tilde{\ }p\]is:
A)
tautology
done
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B)
contradiction
done
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C)
neither a tautology nor a contradiction
done
clear
D)
none of the above
done
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question_answer 131) Which of the following function is periodic with period\[\pi \]?
A)
\[f(x)=x\cos x\]
done
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B)
\[f(x)=|\cos x|\]
done
clear
C)
\[f(x)=\sin x\]
done
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D)
\[f(x)=[x+\pi ]\] Where \[[x]\] means the greater integer not greater than \[x.\]
done
clear
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question_answer 132) \[\frac{{{e}^{2}}+1}{2e}\]is equal to:
A)
\[1+\frac{1}{2!}+\frac{1}{4!}+\frac{1}{6!}+....\infty \]
done
clear
B)
0
done
clear
C)
1
done
clear
D)
none of the above
done
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View Answer play_arrow
question_answer 133) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{x{{\sin }^{-1}}}{\sin {{x}^{2}}}\]is equal to:
A)
0
done
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B)
1
done
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C)
2
done
clear
D)
\[\infty \]
done
clear
View Answer play_arrow
question_answer 134) If\[y={{\sin }^{-1}}(\cos x),\] then \[\frac{dy}{dx}\]is equal to:
A)
\[\frac{1}{\sin x}\]
done
clear
B)
\[{{\cos }^{-1}}x\]
done
clear
C)
\[-1\]
done
clear
D)
\[\frac{1}{2}\]
done
clear
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question_answer 135) If \[{{e}^{x}}\sin \,y-{{e}^{y}}\cos x=1,\] then \[\frac{dy}{dx}\]is equal to:
A)
\[\frac{{{e}^{x}}\sin y+{{e}^{y}}\sin x}{{{e}^{y}}\cos x-{{e}^{x}}\cos y}\]
done
clear
B)
\[\frac{{{e}^{x}}\sin x+{{e}^{y}}\sin y}{{{e}^{y}}\cos x-{{e}^{x}}\cos y}\]
done
clear
C)
\[\frac{{{e}^{x}}\sin y-{{e}^{y}}\sin x}{{{e}^{y}}\cos x-{{e}^{x}}\cos y}\]
done
clear
D)
none of the above
done
clear
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question_answer 136) If \[y=\cos \,t\] and\[x=\sin t,\], then \[\frac{{{d}^{2}}y}{d{{x}^{2}}}\]is equal to:
A)
\[\frac{y}{x}\]
done
clear
B)
\[\frac{x}{y}\]
done
clear
C)
0
done
clear
D)
none of these
done
clear
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question_answer 137) The tangent to the curve \[y={{e}^{2x}}\]at the point (0, 1) meet the axis at:
A)
\[(0,4)\]
done
clear
B)
\[(2,0)\]
done
clear
C)
\[(-1/2,0)\]
done
clear
D)
none of these
done
clear
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question_answer 138) \[{{\log }_{e}}x\]is equal to:
A)
\[(x-1)-\frac{{{(x-1)}^{2}}}{2}+\frac{{{(x-1)}^{3}}}{3}-....\infty \]
done
clear
B)
0
done
clear
C)
1
done
clear
D)
none of the above
done
clear
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question_answer 139) \[\int_{{}}^{{}}{\frac{x{{e}^{x}}}{{{(x+1)}^{2}}}dx}\]is equal to:
A)
\[\frac{{{e}^{x}}}{x+1}+c\]
done
clear
B)
\[\frac{{{e}^{x}}}{{{(x+1)}^{2}}}+c\]
done
clear
C)
\[\frac{{{e}^{x}}}{{{(x+1)}^{3}}}+c\]
done
clear
D)
none of these
done
clear
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question_answer 140) \[\int_{{}}^{{}}{\frac{\tan x}{\sec x+\tan x}dx}\]is equal to:
A)
\[x+\sec x+\tan x+c\]
done
clear
B)
\[x-\sec x+\tan x+c\]
done
clear
C)
\[x-\tan x+\sec x+c\]
done
clear
D)
none of the above
done
clear
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question_answer 141) \[\underset{x\to a}{\mathop{\lim }}\,\frac{\sqrt{3x-a}-\sqrt{x+a}}{x-a}\]is equal to:
A)
\[\sqrt{2a}\]
done
clear
B)
\[\frac{1}{\sqrt{2a}}\]
done
clear
C)
2a
done
clear
D)
\[\frac{1}{2a}\]
done
clear
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question_answer 142) \[\int_{0}^{1}{\frac{x}{{{(1-x)}^{3/4}}}dx}\]is equal to:
A)
\[\frac{-12}{5}\]
done
clear
B)
\[\frac{16}{5}\]
done
clear
C)
\[\frac{-16}{5}\]
done
clear
D)
none of these
done
clear
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question_answer 143) \[\int_{{}}^{{}}{\frac{{{x}^{5}}}{\sqrt{1+{{x}^{3}}}}}dx\]is equal to:
A)
\[\frac{2}{9}{{(1+{{x}^{3}})}^{3/2}}+c\]
done
clear
B)
\[\frac{2}{9}{{(1+{{x}^{3}})}^{3/2}}+\frac{2}{3}{{(11-{{x}^{3}})}^{1/2}}+c\]
done
clear
C)
\[\frac{2}{9}{{(1+{{x}^{3}})}^{3/2}}-\frac{2}{3}{{(1+{{x}^{3}})}^{1/2}}+c\]
done
clear
D)
none of these
done
clear
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question_answer 144) \[\int_{1}^{2}{\log x\,dx}\]is equal to:
A)
\[\log \left( \frac{e}{2} \right)\]
done
clear
B)
\[\log \left( \frac{2}{e} \right)\]
done
clear
C)
\[\log \left( \frac{e}{4} \right)\]
done
clear
D)
\[\log \left( \frac{4}{e} \right)\]
done
clear
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question_answer 145) The value of a for which the function \[f(x)=a\sin x+\frac{1}{3}\sin 3x\] has an extremum at \[x=\frac{\pi }{3},\] is:
A)
1
done
clear
B)
\[-1\]
done
clear
C)
0
done
clear
D)
2
done
clear
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question_answer 146) If \[\theta \]is the angle between the vectors \[\vec{a}=2\hat{i}-\hat{j}+\hat{k}\]and \[\vec{b}=\hat{i}+2\hat{j}+\hat{k},\] then the angle is:
A)
1
done
clear
B)
\[{{\cos }^{-1}}\frac{1}{6}\]
done
clear
C)
\[\frac{1}{\sqrt{6}}\]
done
clear
D)
none of these
done
clear
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question_answer 147) Two dice are thrown simultaneously. The probability that the sum of the points on two dice will be 7, is :
A)
5/36
done
clear
B)
1/6
done
clear
C)
7/36
done
clear
D)
2/9
done
clear
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question_answer 148) Two parallel forces not having the same line of action form a couple, if they are:
A)
like and unlike
done
clear
B)
like and equal
done
clear
C)
unequal and unlike
done
clear
D)
equal and unlike
done
clear
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question_answer 149) A particle is projected from the top of a tower \[h\] metres high and at the same moment particle is projected upwards from the bottom of the tower. If the two particles meet when the upper one has described \[(1/n)th\]of the distance, then the velocity of the projection of the lower particle is:
A)
\[\sqrt{n\,g\,h}\]
done
clear
B)
\[\frac{1}{2}\sqrt{n\,g\,h}\]
done
clear
C)
\[\sqrt{2\,n\,g\,h}\]
done
clear
D)
\[\sqrt{\frac{1}{2}n\,g\,h}\]
done
clear
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question_answer 150) A particle is projected with a velocity \[{{v}_{0}}\]so that its range on a horizontal plane is twice the greatest height attained. The range is:
A)
\[\frac{5}{4g}v_{0}^{2}\]
done
clear
B)
\[\frac{4}{5g}v_{0}^{2}\]
done
clear
C)
\[\frac{4}{3}v_{0}^{2}\]
done
clear
D)
\[\frac{3}{5}v_{0}^{2}\]
done
clear
View Answer play_arrow
\[\text{1}\text{.2V}\] 
\[\frac{\text{1}}{\text{12}}\text{A}\,\,\text{and}\,\text{12}\,\text{V}\] 
\[>\frac{a}{g}\] 
