question_answer 1)
Consider the following statements: The total energy of a particle executing simple harmonic motion depends on its:
(I) amplitude
(II) period
(III) displacement
Of these statements:
A)
\[\text{I}\] and \[\text{II}\] are correct
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B)
\[\text{II}\] and \[\text{III}\] are correct
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C)
\[\text{I}\] and \[\text{III}\] are correct
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D)
\[\text{I, II }and\,\text{III}\,are\,correct\]
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question_answer 2) The maximum velocity of a simple harmonic motion represented by \[y=3\sin \left( 100\,t+\frac{\pi }{6} \right)m\] is given by:
A)
300 m/s
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B)
\[\frac{\text{3}}{\text{6}}\text{m/s}\]
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C)
100 m/s
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D)
\[\frac{}{\text{6}}\text{m/s}\]
done
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question_answer 3) When earth moves round the sun, the quantity which remains constant is:
A)
angular velocity
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B)
kinetic energy
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C)
potential energy
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D)
areal velocity
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question_answer 4) 1 kg body explodes into three fragments. The ratio of their masses is 1:1:3. The fragments of same mass move perpendicular to each other with speeds 30 m/s, while the heavier part remains in the initial direction. The speed of heavier part is:
A)
\[\frac{10}{\sqrt{2}}\text{m/s}\]
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B)
\[\text{10}\sqrt{2\,}\text{m/s}\]
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C)
\[\text{20}\sqrt{2\,}\text{m/s}\]
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D)
\[\text{30}\sqrt{2\,}\text{m/s}\]
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question_answer 5) The dimensional formula for the gravitational constant is:
A)
\[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{-1}}}{{\text{L}}^{\text{3}}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]
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B)
\[\text{ }\!\![\!\!\text{ ML}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]
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C)
\[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{2}}{{\text{T}}^{-2}}\text{ }\!\!]\!\!\text{ }\]
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D)
\[\text{ }\!\![\!\!\text{ }{{\text{M}}^{-1}}{{\text{L}}^{3}}\text{T }\!\!]\!\!\text{ }\]
done
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question_answer 6) A particle is moving in a circle of radius R with constant speed v. If radius is doubled, then its centripetal force to keep the same speed gets:
A)
twice as great as before
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B)
half
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C)
one-fourth
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D)
remains constant
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question_answer 7) If linear density of a rod of length 3 m varies as \[\lambda =2+x,\] then the position of the centre of gravity of the rod is:
A)
\[\frac{7}{3}m\]
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B)
\[\frac{12}{7}m\]
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C)
\[\frac{10}{7}m\]
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D)
\[\frac{9}{7}m\]
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question_answer 8) A block of mass m initially at rest is dropped from a height h on to a spring of force constant k. The maximum compression in the spring is x then:
A)
\[mgh=\frac{1}{2}k\,{{x}^{2}}\]
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B)
\[mg(h+x)=\frac{1}{2}k\,{{x}^{2}}\]
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C)
\[mgh=\frac{1}{2}k\,{{(x+h)}^{2}}\]
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D)
\[mg(h+x)=\frac{1}{2}k\,{{(x+h)}^{2}}\]
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question_answer 9) A ball of mass m moves with speed v and it strikes normally with a wall and reflected back normally. If its time of contact with wall is t, then find force exerted by ball on the wall.
A)
\[\frac{2mv}{t}\]
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B)
\[\frac{mv}{t}\]
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C)
\[mvt\]
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D)
\[\frac{mv}{2t}\]
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question_answer 10) A wheel of radius 1m rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is :
A)
\[2\pi \]
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B)
\[\sqrt{2\pi }\]
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C)
\[\sqrt{{{\pi }^{2}}+4}\]
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D)
\[\pi \]
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question_answer 11) Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a pipe of diameter 2 cm. The velocity of water in the other pipe is:
A)
3 m/s
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B)
6 m/s
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C)
12 m/s
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D)
8 m/s
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question_answer 12) The surface tension of a liquid is 5 N/m. If a film is held on a ring of area \[0.02\,\,{{m}^{2}},\] its total surface energy is about:
A)
\[\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-2}}}\text{J}\]
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B)
\[\text{2}\text{.5 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-2}}}\text{J}\]
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C)
\[\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-1}}}\text{J}\]
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D)
\[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-1}}}\text{J}\]
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question_answer 13) A viscous fluid is flowing through a cylindrical tube. The velocity distribution of the fluid is best represented by the diagram:
A)
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B)
done
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C)
done
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D)
none of these
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question_answer 14) A wire is stretched by 1 mm by a force of 1 k N. The work done in stretching the wire is :
A)
5 erg
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B)
5 J
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C)
0.5 erg
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D)
0.5 J
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question_answer 15) In isochoric process:
A)
\[\Delta U=\Delta Q\]
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B)
\[\Delta Q=\Delta W\]
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C)
\[\Delta U=\Delta W\]
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D)
none of these
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question_answer 16) Which is not a path function?
A)
\[\Delta Q\]
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B)
\[\Delta Q+\Delta W\]
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C)
\[\Delta W\]
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D)
\[\Delta Q-\Delta W\]
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question_answer 17) The work done, V/during an isothermal process in which 1 mole of the gas expands from an initial volume \[{{V}_{1}}\] to a final volume \[{{V}_{2}}\] is given by: (R=gas constant, T= temperature)
A)
\[R({{V}_{2}}-{{V}_{1}}){{\log }_{e}}\left( \frac{{{T}_{1}}}{{{T}_{2}}} \right)\]
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B)
\[R({{T}_{2}}-{{T}_{1}}){{\log }_{e}}\left( \frac{{{V}_{2}}}{{{V}_{1}}} \right)\]
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C)
\[RT{{\log }_{e}}\left( \frac{{{V}_{2}}}{{{V}_{1}}} \right)\]
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D)
\[2RT{{\log }_{e}}\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)\]
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question_answer 18) The P-V diagram of a system undergoing thermodynamic transformation is shown in figure. The work done by the system in going from\[A\to B\to C\] is 30 J, and 40 J heat is given to the system. The change in internal energy between A and C is:
A)
10 J
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B)
70 J
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C)
84 J
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D)
134 J
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question_answer 19) The degrees of freedom of a molecule of a triatomic gas are:
A)
2
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B)
4
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C)
6
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D)
8
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question_answer 20) Ozone layer blocks the radiations of wave- length:
A)
less than \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-7}}}\text{m}\]
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B)
equal to \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-7}}}\text{m}\]
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C)
more than \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-7}}}\text{m}\]
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D)
all of the above
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question_answer 21) Two simple harmonic waves of the same amplitude and frequency differ by a phase\[\text{/2}\] When they are fed simultaneously to the X and Y-plates of a CRO, the screen would display the trace of:
A)
a circle
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B)
an ellipse
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C)
a straight line
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D)
a square
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question_answer 22) The speed of a wave is 360 m/s and frequency is 500 Hz. Phase difference between two consecutive particles is \[60{}^\circ \], then path difference between them will be:
A)
0.72 cm
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B)
120 cm
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C)
12 cm
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D)
7.2 cm
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question_answer 23) A string of length 2 m is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of 500 Hz, then the waves would travel on it with a velocity of:
A)
125 m/s
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B)
250 m/s
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C)
500 m/s
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D)
1000 m/s
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question_answer 24) The fundamental frequency of a sonometer wire is n. If its radius is doubled and its tension becomes half, the material of the wire remains same, the new fundamental frequency will be:
A)
\[n\]
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B)
\[\frac{n}{\sqrt{2}}\]
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C)
\[\frac{n}{2}\]
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D)
\[\frac{n}{2\sqrt{2}}\]
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question_answer 25) In open organ pipe, if fundamental frequency is n, then the other frequencies are:
A)
n, 2 n, 3n, 4n
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B)
n, 3n, 5n
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C)
n, 2n, 4n, 8n
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D)
none of these
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question_answer 26) A sound wave of frequency \[f\] propagating through air with a velocity c, is reflected from a surface which is moving away from the source with a constant speed v. The frequency of the reflected wave, measured by the observer at the position of the source, is:
A)
\[\frac{f(c-v)}{c+v}\]
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B)
\[\frac{f(c+v)}{c-v}\]
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C)
\[\frac{f(c+2v)}{c+v}\]
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D)
\[\frac{f(c-v)}{c-2v}\]
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question_answer 27) A convex lens of focal length 10 cm and image formed by it, is at least distance of distinct vision then the magnifying power is:
A)
3.5
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B)
2.5
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C)
1.5
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D)
1.4
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question_answer 28) If two +5 D, lenses are mounted at some distance apart, the equivalent power will always be negative, if the distance is:
A)
greater than 40 cm
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B)
equal to 40 cm
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C)
equal to 10 cm
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D)
less than 10 cm
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question_answer 29) A Galilean telescope has an objective of focal length 100 cm and magnifying power 50. The distance between the two lenses in normal adjustment will be:
A)
98 cm
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B)
100 cm
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C)
150 cm
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D)
200 cm
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question_answer 30) A film projector magnifies a \[100\,c{{m}^{2}}\] film strip on a screen. If the linear magnification is 4, the area of the magnified film on the screen is:
A)
\[1600\,c{{m}^{2}}\]
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B)
\[400\,c{{m}^{2}}\]
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C)
\[800\,c{{m}^{2}}\]
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D)
\[200\,c{{m}^{2}}\]
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question_answer 31) The exposure time of a camera lens at\[f/2.8\] setting is 1/200 s. The correct exposure time at \[f/5.6\]setting is:
A)
0.02 s
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B)
0.04 s
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C)
0.20 s
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D)
0.40 s
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question_answer 32) In Youngs double slit experiment, the slit width and the distance of slits from the screen both are doubled. The fringe width:
A)
increases
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B)
decreases
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C)
remains unchanged
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D)
none of the above
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question_answer 33) In Youngs double slit experiment, the aperture screen distance is 2 m. The slit width is 1 mm. Light of 600 nm is used. If a thin plate of glass \[(\mu =1.5)\] of thickness 0.06 mm is placed over one of the slits, then there will be a lateral displacement of the fringes by:
A)
zero
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B)
6 cm
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C)
10 cm
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D)
15 cm
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question_answer 34) A single slit is used to observe diffraction pattern with red light. on replacing the red light with violet light the diffraction pattern would:
A)
remain unchanged
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B)
become narrower
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C)
become broader
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D)
disappear
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question_answer 35) The resistance of a discharge tube is:
A)
zero
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B)
ohmic
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C)
non-ohmic
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D)
infinity
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question_answer 36) Which one of the following processes depends on gravity?
A)
Conduction
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B)
Convection
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C)
Radiation
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D)
None of the above
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question_answer 37) The radius of solid metallic non-conducting sphere is 60 cm and charge on the sphere is \[500\,\mu C\]. The electric field at a distance 10 cm from centre of sphere is:
A)
\[2\times {{10}^{6}}\,N/C\]
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B)
\[2\times {{10}^{8}}\,N/C\]
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C)
\[5\times {{10}^{6}}\,N/C\]
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D)
\[5\times {{10}^{8}}\,N/C\]
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question_answer 38) The equivalent capacitance between the points A and B in the following circuit is:
A)
\[1\mu F\]
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B)
\[2\mu F\]
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C)
\[4\mu F\]
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D)
\[8\mu F\]
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question_answer 39) The figure shows a network of currents. The magnitude of current is shown here. The current \[I\] will be:
A)
3 A
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B)
9 A
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C)
13 A
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D)
19 A
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question_answer 40) If resistance of voltmeter is \[10000\,\Omega \] and resistance of galvanometer is \[2\,\,\Omega ,\] then find R when voltmeter reads 12 V and galvanometer reads 0.1 A.
A)
\[118\,\,\Omega \]
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B)
\[120\,\,\Omega \]
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C)
\[124\,\Omega \]
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D)
\[114\,\Omega \]
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question_answer 41) Two bulbs 25 W, 220 V and 100 W, 220 V are given. Which has higher resistance?
A)
25 W bulb
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B)
100 W bulb
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C)
Both bulbs will have equal resistance
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D)
Resistance of bulbs cannot be compared
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question_answer 42) An electron (mass \[9.1\times {{10}^{31}}\] kg, charge \[=1.6\times {{10}^{19}}C\]) experiences no deflection, if subjected to an electric field of \[3.2\times {{10}^{5}}V/m,\] and a magnetic field of \[2.0\times {{10}^{3}}\] \[Wb/{{m}^{2}}\]. Both the fields are normal to the path of electron and to each other. If the electric field is removed, then the electron will revolve in an orbit of radius:
A)
45 m
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B)
4.5 m
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C)
0.45 m
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D)
0.045 m
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question_answer 43) An LCR circuit of R = 100 0 is connected to an AC source 100 V, 50 Hz. The magnitude of phase difference between current and voltage is \[30{}^\circ \]. The power dissipated in the LCR circuit is:
A)
50 W
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B)
86.6 W
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C)
100 W
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D)
200 W
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question_answer 44) If half-life of radium is 77 days, its decay constant will be:
A)
\[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{/day}\]
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B)
\[\text{9 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{/day}\]
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C)
\[\text{1 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{/day}\]
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D)
\[\text{6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{/day}\]
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question_answer 45) In a radioactive reaction\[_{92}{{X}^{232}}{{\to }_{82}}{{X}^{204}}\] the number of \[\alpha \]-particles emitted is:
A)
7
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B)
6
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C)
5
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D)
4
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question_answer 46) According to Hubbles law, the red-shift (Z) of a receding galaxy and its distance r from aril are related as:
A)
\[Z\,\propto r\]
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B)
\[Z\,\propto \frac{1}{r}\]
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C)
\[Z\,\propto \frac{1}{{{r}^{2}}}\]
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D)
\[Z\,\propto {{r}^{3/2}}\]
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question_answer 47) The de-Broglie wavelength of a body of mass m and kinetic energy E is given by:
A)
\[\lambda =\frac{h}{mE}\]
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B)
\[\lambda =\frac{\sqrt{2mE}}{h}\]
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C)
\[\lambda =\frac{h}{2mE}\]
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D)
\[\lambda =\frac{h}{\sqrt{2mE}}\]
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question_answer 48) Different voltages are applied across a p-n junction and the currents are measured form each value. Which of die following graphs is obtained between voltage and current?
A)
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B)
done
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C)
done
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D)
done
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question_answer 49)
A logic gate having two inputs A and B and output C has the following truth table
A
B
C
1
1
0
1
0
1
0
1
1
0
0
1
It is :
A)
an OR gate
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B)
an AND gate
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C)
a NOR gate
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D)
a NAND gate
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question_answer 50) For sky wave propagation of 10 MHz signal, what should be the minimum electron density in ionosphere?
A)
\[\sim 1.2\times {{10}^{12}}{{m}^{-3}}\]
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B)
\[\sim {{10}^{6}}{{m}^{-3}}\]
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C)
\[\sim {{10}^{14}}{{m}^{-3}}\]
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D)
\[\sim {{10}^{22}}{{m}^{-3}}\]
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question_answer 51) The number of molecules of \[C{{O}_{2}}\]present in 44 g of \[C{{O}_{2}}\]is:
A)
\[6.0\times {{10}^{23}}\]
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B)
\[3\times {{10}^{23}}\]
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C)
\[12\times {{10}^{23}}\]
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D)
\[3\times {{10}^{10}}\]
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question_answer 52) Magnitude of kinetic energy in an orbit is equal to:
A)
half of the potential energy
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B)
twice of the potential energy
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C)
one fourth of the potential energy
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D)
none of the above
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question_answer 53) A p-orbital in a given shell can accommodate upto:
A)
four electrons
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B)
two electrons with parallel spin
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C)
six electrons
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D)
two electrons with opposite spin
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question_answer 54) Which of the following is Heisenberg uncertainty principle?
A)
\[\Delta x.\Delta p\ge \frac{h}{4\pi }\]
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B)
\[\Delta x.\Delta p=\frac{h}{4\pi }\]
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C)
\[\Delta x.\Delta p\le \frac{h}{4\pi }\]
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D)
\[\Delta x.\Delta p<\frac{h}{4\pi }\]
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question_answer 55) Chromium is represented by the electronic configuration:
A)
\[\text{ }\!\![\!\!\text{ }Ne\text{ }\!\!]\!\!\text{ }3{{s}^{2}}\text{ }3{{P}^{6}}\text{ }3{{d}^{1}}\text{ }4{{s}^{2}}\]
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B)
\[\text{ }\!\![\!\!\text{ }Ne\text{ }\!\!]\!\!\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }3{{d}^{2}}\text{ }4{{s}^{1}}\]
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C)
\[\text{ }\!\![\!\!\text{ }Ne\text{ }\!\!]\!\!\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }3{{d}^{5}}\text{ }4{{s}^{1}}\]
done
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D)
\[~[Ne]\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{2}}\text{ }3{{d}^{4}}\]
done
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question_answer 56) Number of neutron in \[{{C}^{12}}\]is:
A)
6
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B)
7
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C)
8
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D)
9
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question_answer 57) H-bond is not present in:
A)
water
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B)
glycerol
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C)
hydrogen fluoride
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D)
hydrogen sulphide.
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question_answer 58) Oxidation number of S in\[SO_{4}^{2-}:\]
A)
+ 6
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B)
+ 3
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C)
+ 2
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D)
- 2
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question_answer 59) 2 g of \[{{O}_{2}}\] at\[~27{{\,}^{o}}C\] and 760 mm of Hg pressure has volume:
A)
1.4 L
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B)
2.8 L
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C)
11.2 L
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D)
22.4 L
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question_answer 60) If pressure increases then its effect on given equilibrium \[2NO(g){{N}_{2}}(g)+{{O}_{2}}(g)\] is shift in:
A)
forward direction
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B)
backward direction
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C)
no effect
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D)
none of the above
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question_answer 61) Which is Lewis base: \[{{I}_{2}}+{{I}^{-}}\xrightarrow{{}}{{I}_{3}}^{-}\]?
A)
\[{{I}_{2}}\]
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B)
\[I_{3}^{-}\]
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C)
\[{{I}^{-}}\]
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D)
None of these
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question_answer 62) The heat of neutralization of any strong acid and a strong base is nearly equal to:
A)
\[-75.3\,kJ\]
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B)
\[~+\,57.3\,kJ\]
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C)
\[-57.3\,kJ\]
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D)
\[+\,75.3\,kJ\]
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question_answer 63) pH of \[{{10}^{-8}}\,M\,HCl\]solution is:
A)
8
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B)
between 7 and 8
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C)
between 6 and 7
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D)
between 8 and 9
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question_answer 64) A reaction \[A\xrightarrow{{}}B\]follows a second order kinetic. Doubling the concentration of A will increase the rate of formation of B by a factor of:
A)
1/4
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B)
4
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C)
1/2
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D)
2
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question_answer 65) Which of the following is always negative for exothermic reaction?
A)
\[\Delta H\]
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B)
\[\Delta S\]
done
clear
C)
\[\Delta G\]
done
clear
D)
None of these
done
clear
View Answer play_arrow
question_answer 66) Unit of equivalent conductance is:
A)
\[oh{{m}^{-1}}\,c{{m}^{2}}\,{{(g-eq)}^{-1}}\]
done
clear
B)
\[ohm\,cm\,(g-eq)\]
done
clear
C)
\[ohm\,c{{m}^{2}}\,{{(g-eq)}^{-1}}\]
done
clear
D)
\[oh{{m}^{-1}}\,cm\,{{(g-eq)}^{-1}}\]
done
clear
View Answer play_arrow
question_answer 67) For cell reaction \[Zn+C{{u}^{2+}}\xrightarrow{{}}Z{{n}^{2+}}+Cu\] cell representation is:
A)
\[Zn|Z{{n}^{2+}}||C{{u}^{2+}}|Cu\]
done
clear
B)
\[Cu|C{{u}^{2+}}||Z{{n}^{2+}}|Zn\]
done
clear
C)
\[Cu|Z{{n}^{2+}}||Zn|C{{u}^{2+}}\]
done
clear
D)
\[C{{u}^{2+}}|Zn||Z{{n}^{2+}}|Cu\]
done
clear
View Answer play_arrow
question_answer 68) Molal solution means 1 mole of solute present in:
A)
\[1000\,g\]of solvent
done
clear
B)
1 L of solvent
done
clear
C)
1 L of solution
done
clear
D)
\[1000\,g\]of solution
done
clear
View Answer play_arrow
question_answer 69) Which of the following shows maximum depression in freezing point?
A)
\[{{K}_{2}}S{{O}_{4}}\]
done
clear
B)
\[NaCl\]
done
clear
C)
Urea
done
clear
D)
Glucose
done
clear
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question_answer 70) An emulsion is a colloidal dispersion of:
A)
a liquid in a gas
done
clear
B)
a liquid in a liquid
done
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C)
a solid in a liquid
done
clear
D)
a gas in a solid
done
clear
View Answer play_arrow
question_answer 71) Size of colloidal particle is:
A)
\[1\,nm\]
done
clear
B)
\[1-100\,nm\]
done
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C)
\[<\,100\,nm\]
done
clear
D)
\[>\,100\,nm\]
done
clear
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question_answer 72) Ether show isomerism with:
A)
alcohol
done
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B)
ethane
done
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C)
halide
done
clear
D)
aldehyde
done
clear
View Answer play_arrow
question_answer 73) Which of the following shows geometrical isomerism?
A)
\[{{C}_{2}}{{H}_{5}}Br\]
done
clear
B)
\[(C{{H}_{2}}){{(COOH)}_{2}}\]
done
clear
C)
\[{{(CH)}_{2}}{{(COOH)}_{2}}\]
done
clear
D)
\[{{C}_{2}}{{H}_{6}}\]
done
clear
View Answer play_arrow
question_answer 74) Which of the following is present in natural gas?
A)
\[n-\]butane
done
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B)
Ethane
done
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C)
Methane
done
clear
D)
Propane
done
clear
View Answer play_arrow
question_answer 75) Which of the following have delocalized electron?
A)
Benzene
done
clear
B)
Cyclohexane
done
clear
C)
\[C{{H}_{4}}\]
done
clear
D)
\[{{C}_{2}}{{H}_{6}}\]
done
clear
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question_answer 76) Nitration of benzene is:
A)
electrophilic substitution
done
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B)
electrophilic addition
done
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C)
nucleophilic substitution
done
clear
D)
nucleophilic addition
done
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View Answer play_arrow
question_answer 77) Alkyl halide can be converted into alkene by:
A)
nucleophilic substitution reaction
done
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B)
elimination reaction
done
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C)
both nucleophilic substitution and elimination reaction
done
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D)
rearrangement
done
clear
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question_answer 78) Which of the following compounds is most acidic?
A)
\[C{{H}_{4}}\]
done
clear
B)
\[{{C}_{2}}{{H}_{6}}\]
done
clear
C)
\[CH\equiv CH\]
done
clear
D)
\[{{C}_{2}}{{H}_{5}}OH\]
done
clear
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question_answer 79) Which of the following reacts with \[KMn{{O}_{4}}\]but does not react with\[AgN{{O}_{3}}\]?
A)
\[{{C}_{2}}{{H}_{6}}\]
done
clear
B)
\[C{{H}_{4}}\]
done
clear
C)
\[{{C}_{2}}{{H}_{4}}\]
done
clear
D)
\[{{C}_{2}}{{H}_{2}}\]
done
clear
View Answer play_arrow
question_answer 80) Which of the following compound does not show anti-Markownikoffs addition?
A)
Propene
done
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B)
1-butene
done
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C)
2-butene
done
clear
D)
2-pentene
done
clear
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question_answer 81) Methyl ketone is identified by:
A)
lodoform test
done
clear
B)
Fehling solution
done
clear
C)
Tollens reagent
done
clear
D)
Schiffs reagent
done
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View Answer play_arrow
question_answer 82) Which of the following does not give Fehling solution test?
A)
Acetone
done
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B)
Propanal
done
clear
C)
Ethanal
done
clear
D)
Butanal
done
clear
View Answer play_arrow
question_answer 83) Cyanide group on hydrolysis gives:
A)
acid
done
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B)
acetamide
done
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C)
amine
done
clear
D)
hydrate
done
clear
View Answer play_arrow
question_answer 84) In alkyl cyanide alkyl group attached with:
A)
C of CN group
done
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B)
N of CN group
done
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C)
either C or N of CN group
done
clear
D)
both C and N of CN group
done
clear
View Answer play_arrow
question_answer 85) Fat on hydrolysis gives which alcohol
A)
Glycerol
done
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B)
Propanol
done
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C)
Butanol
done
clear
D)
Ethanol
done
clear
View Answer play_arrow
question_answer 86) Which of the following is natural polymer?
A)
PVC
done
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B)
Nylon 66
done
clear
C)
Teflon
done
clear
D)
Cellulose
done
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View Answer play_arrow
question_answer 87) Condensation product of caprolactum is:
A)
Nylon 6
done
clear
B)
Nylon 66
done
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C)
Nylon 60
done
clear
D)
Nylon 6, 10
done
clear
View Answer play_arrow
question_answer 88) Which inert gas have highest boiling point
A)
\[Xe\]
done
clear
B)
\[Ar\]
done
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C)
Kr
done
clear
D)
He
done
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View Answer play_arrow
question_answer 89) In Ostwald process of manufacturing of \[\text{HN}{{\text{O}}_{\text{3}}}\text{,}\]catalyst used is:
A)
Mo
done
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B)
Fe
done
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C)
Mn
done
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D)
Pt
done
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View Answer play_arrow
question_answer 90) Important ore of Mg is:
A)
Gypsum
done
clear
B)
Camallite
done
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C)
Magnatide
done
clear
D)
Camolite
done
clear
View Answer play_arrow
question_answer 91) Purification of Al by electrolysis method is called:
A)
Halls process
done
clear
B)
Baeyer process
done
clear
C)
Ostwald process
done
clear
D)
Hoopes process
done
clear
View Answer play_arrow
question_answer 92) Decreasing size of ions is:
A)
\[\text{I}\,\text{}\,{{\text{I}}^{-}}>{{I}^{+}}\]
done
clear
B)
\[\text{I}{{\,}^{-}}\text{}\,\text{I}>{{I}^{+}}\]
done
clear
C)
\[\text{I}{{\,}^{+}}\text{}\,{{\text{I}}^{-}}>I\]
done
clear
D)
\[\text{I}\,\text{}\,{{\text{I}}^{+}}>{{I}^{-}}\]
done
clear
View Answer play_arrow
question_answer 93) Which of the following is kept in water?
A)
White phosphorus
done
clear
B)
Sodium
done
clear
C)
Potassium
done
clear
D)
Calcium
done
clear
View Answer play_arrow
question_answer 94) When heated\[N{{H}_{3}}\] is passed over\[CuO\]gas evolved is:
A)
\[{{N}_{2}}\]
done
clear
B)
\[{{N}_{2}}O\]
done
clear
C)
\[HN{{O}_{3}}\]
done
clear
D)
\[N{{O}_{2}}\]
done
clear
View Answer play_arrow
question_answer 95) Formula of hypophosphorus acid is:
A)
\[H-\underset{H}{\overset{O}{\mathop{\underset{||}{\overset{||}{\mathop{P}}}\,}}}\,-OH\]
done
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B)
\[HO-\underset{OH}{\overset{O}{\mathop{\underset{||}{\overset{||}{\mathop{P}}}\,}}}\,-OH\]
done
clear
C)
\[H-\underset{H}{\overset{O}{\mathop{\underset{||}{\overset{||}{\mathop{P}}}\,}}}\,=OH\]
done
clear
D)
\[H-\underset{OH}{\overset{O}{\mathop{\underset{|}{\overset{||}{\mathop{P}}}\,}}}\,-OH\]
done
clear
View Answer play_arrow
question_answer 96) Most powerful reducing agent is:
A)
\[Li\]
done
clear
B)
\[Na\]
done
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C)
\[Ca\]
done
clear
D)
\[Mg\]
done
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View Answer play_arrow
question_answer 97) When calomel reacts with \[N{{H}_{4}}OH\]solution the compound formed is:
A)
\[N{{H}_{2}}-Hg-Cl\]
done
clear
B)
\[H{{g}_{2}}C{{l}_{2}}N{{H}_{3}}\]
done
clear
C)
\[Hg{{(N{{H}_{3}})}_{2}}C{{l}_{2}}\]
done
clear
D)
\[HgC{{l}_{2}}N{{H}_{3}}\]
done
clear
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question_answer 98) Which of the following is colored compound?
A)
\[Cu{{F}_{2}}\]
done
clear
B)
\[CuI\]
done
clear
C)
\[NaCI\]
done
clear
D)
\[MgC{{l}_{2}}\]
done
clear
View Answer play_arrow
question_answer 99) \[{{H}_{2}}{{O}_{2}}\]is formed by which of the following compounds?
A)
\[N{{a}_{2}}{{O}_{2}}\]
done
clear
B)
\[NaOH\]
done
clear
C)
\[N{{a}_{2}}O\]
done
clear
D)
\[K{{O}_{2}}\]
done
clear
View Answer play_arrow
question_answer 100) Copper sulphate solution reacts with KCN and gives:
A)
\[{{K}_{3}}[Cu{{(CN)}_{4}}]\]
done
clear
B)
\[CuCN\]
done
clear
C)
\[Cu{{(CN)}_{2}}\]
done
clear
D)
\[{{K}_{2}}[Cu{{(CN)}_{4}}]\]
done
clear
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question_answer 101) If \[A\subseteq B,\]then \[B\cup A\]is equal to:
A)
\[B\cap A\]
done
clear
B)
A
done
clear
C)
B
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 102) The real value of \[\alpha \]for which the expression \[\frac{1-i\sin \alpha }{1+2i\,\sin \alpha }\] is purely real, is:
A)
\[(2n+1)\frac{\pi }{2}\]
done
clear
B)
\[(n+1)\frac{\pi }{2}\]
done
clear
C)
\[n\pi \]
done
clear
D)
none of these
done
clear
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question_answer 103) The medians AD and BE of the triangle with vertices A (0, b), B (0, 0) and C (a, 0) are mutually perpendicular, if:
A)
\[b=a\]
done
clear
B)
\[b=-2\sqrt{a}\]
done
clear
C)
\[a=\pm \sqrt{2b}\]
done
clear
D)
\[b=\sqrt{2}\,a\]
done
clear
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question_answer 104) The equation of line parallel to the tangent to the circle \[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\]at the point \[({{x}_{1}},{{y}_{1}})\] and passing through origin, is:
A)
\[x{{y}_{1}}+{{x}_{1}}y=0\]
done
clear
B)
\[x{{x}_{1}}-y{{y}_{1}}=0\]
done
clear
C)
\[x{{x}_{1}}+y{{y}_{1}}=0\]
done
clear
D)
\[xy-{{x}_{1}}y=0\]
done
clear
View Answer play_arrow
question_answer 105) \[\sin {{200}^{o}}+\cos {{200}^{o}}\]is:
A)
positive
done
clear
B)
negative
done
clear
C)
zero
done
clear
D)
zero or positive
done
clear
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question_answer 106) The principal value of \[{{\sin }^{-1}}\left( -\frac{\sqrt{3}}{2} \right)\]is:
A)
\[\frac{4\pi }{3}\]
done
clear
B)
\[\frac{5\pi }{3}\]
done
clear
C)
\[-\frac{2\pi }{3}\]
done
clear
D)
\[-\frac{\pi }{3}\]
done
clear
View Answer play_arrow
question_answer 107) If \[xy+yz+zx=1,\]then \[\sum{\frac{x+y}{1-xy}}\]is equal to:
A)
\[\frac{4}{xyz}\]
done
clear
B)
\[\frac{1}{xyz}\]
done
clear
C)
\[~xyz\]
done
clear
D)
none of these
done
clear
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question_answer 108) A vertical pole (more than 100 m high) consists of two portions, the lower being one-third of the whole. If the upper portion subtends an angle \[{{\tan }^{-1}}\frac{1}{2}\]at a point in a horizontal plane through the foot of the pole and distance 40 ft from it, then the height of the pole is:
A)
100 ft
done
clear
B)
120 ft
done
clear
C)
150 ft
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 109) When the three coins are tossed simultaneously, then the probability of getting one head will be:
A)
\[\frac{3}{7}\]
done
clear
B)
\[\frac{1}{7}\]
done
clear
C)
\[\frac{3}{8}\]
done
clear
D)
\[\frac{7}{8}\]
done
clear
View Answer play_arrow
question_answer 110) The cosine of the angle between any two diagonals of a cube is:
A)
\[\frac{1}{3}\]
done
clear
B)
\[\frac{1}{2}\]
done
clear
C)
\[\frac{2}{3}\]
done
clear
D)
\[\frac{1}{\sqrt{3}}\]
done
clear
View Answer play_arrow
question_answer 111) If\[f\]is any function, then \[\frac{1}{2}[f(x)+f(-x)]\]is always:
A)
odd
done
clear
B)
even
done
clear
C)
neither even nor odd
done
clear
D)
one-one
done
clear
View Answer play_arrow
question_answer 112) If \[f(x)=\log \left( \frac{1+x}{1-x} \right)\]and \[g(x)=\frac{3x+{{x}^{3}}}{1+3{{x}^{2}}},\]then \[f(g(x))\]is equal to:
A)
\[f(3x)\]
done
clear
B)
\[{{(f(x))}^{3}}\]
done
clear
C)
\[3f(x)\]
done
clear
D)
\[-f(x)\]
done
clear
View Answer play_arrow
question_answer 113) \[\underset{x\to 0}{\mathop{\lim }}\,[\cos x]\]is equal to:
A)
\[-1\]
done
clear
B)
1
done
clear
C)
0
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 114) \[\frac{d}{dx}({{\sin }^{-1}}2x\sqrt{1-{{x}^{2}}})\]is equal to:
A)
\[-\frac{2}{\sqrt{1-{{x}^{2}}}}\]
done
clear
B)
\[\frac{2}{\sqrt{1-{{x}^{2}}}}\]
done
clear
C)
\[cos\,2x\]
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 115) \[\int_{0}^{\pi /2}{|\sin x-\cos x|}\,dx\] is equal to:
A)
\[2(\sqrt{2}+1)\]
done
clear
B)
\[\sqrt{2}-1\]
done
clear
C)
\[2(\sqrt{2}-1)\]
done
clear
D)
0
done
clear
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question_answer 116) If p and q are the roots of the equation \[{{x}^{2}}+pq=(p+1)x,\], then \[q\]is equal to:
A)
\[~-1\]
done
clear
B)
2
done
clear
C)
1
done
clear
D)
\[-2\]
done
clear
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question_answer 117) If a line lies in the octant OXYZ and it makes equal angle with the axes, then:
A)
\[l=m=n=\frac{1}{\sqrt{3}}\]
done
clear
B)
\[l=m=n=\pm \frac{1}{\sqrt{3}}\]
done
clear
C)
\[l=m=n=-\frac{1}{\sqrt{3}}\]
done
clear
D)
\[l=m=n=\pm \frac{1}{\sqrt{2}}\]
done
clear
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question_answer 118) If a, b, c are in AP, a, mb, c are in GP, then \[a,{{m}^{2}}b,c\]care in:
A)
HP
done
clear
B)
GP
done
clear
C)
AP
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 119) If \[p\Rightarrow (q\vee r)\]is false, then the truth values of p, q, r are respectively:
A)
\[T,F,F\]
done
clear
B)
\[F,F,F\]
done
clear
C)
\[~F,T,T\]
done
clear
D)
\[T,T,F\]
done
clear
View Answer play_arrow
question_answer 120) In the expansion of \[{{(3x+2)}^{4}}\] the coefficient of middle term is:
A)
36
done
clear
B)
216
done
clear
C)
54
done
clear
D)
81
done
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question_answer 121) For any \[2\times 2\]matrix A, if \[A(adj\,A)=\left[ \begin{matrix} 10 & 0 \\ 0 & 10 \\ \end{matrix} \right],\] then | A | i.e., det A is equal to:
A)
20
done
clear
B)
100
done
clear
C)
10
done
clear
D)
0
done
clear
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question_answer 122) The vectors \[\vec{a}=3\hat{i}-\hat{k},\vec{b}=\hat{i}+2\hat{j}\]are adjacent sides of a parallelogram. Its area is:
A)
\[\frac{1}{2}\sqrt{7}\]
done
clear
B)
\[\sqrt{41}\]
done
clear
C)
\[\frac{1}{2}\sqrt{41}\]
done
clear
D)
\[\frac{1}{2}\sqrt{17}\]
done
clear
View Answer play_arrow
question_answer 123) If a, b, care elements of a boolean algebra, then \[a.b+c(a+b)\]is equal to:
A)
\[a.b\]
done
clear
B)
c
done
clear
C)
\[a\,.\,b+c\]
done
clear
D)
none of these
done
clear
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question_answer 124) \[(\vec{a}+\vec{b}).(\vec{a}-\vec{b})=0\]implies that:
A)
\[\vec{a}=-\vec{b}\]
done
clear
B)
\[\vec{a}\ne \vec{b}\]
done
clear
C)
\[|\vec{a}|=|\vec{b}|\]
done
clear
D)
\[\vec{a}=\vec{b}\]
done
clear
View Answer play_arrow
question_answer 125) 3 persons have 4 coats, 5 waist coats and 6 hats. The number of ways in which they put on the clothes are:
A)
\[{{4}^{3}}\times {{5}^{3}}\times {{6}^{3}}\]
done
clear
B)
\[4\times 5\times 6\]
done
clear
C)
\[4!5!6!\]
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 126) If an integer p is chosen at random in the interval \[0\le p\le 5,\]the probability that the roots of the equation \[{{x}^{2}}+px+\frac{p}{4}+\frac{1}{2}=0\] are real, is:
A)
\[\frac{4}{5}\]
done
clear
B)
\[\frac{2}{3}\]
done
clear
C)
\[\frac{3}{5}\]
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 127) \[\int_{0}^{1}{x{{(1-x)}^{4}}dx}\]is equal to:
A)
1
done
clear
B)
0
done
clear
C)
\[\frac{1}{30}\]
done
clear
D)
\[\frac{1}{5}\]
done
clear
View Answer play_arrow
question_answer 128) The function\[f(x)=2-3x\]is:
A)
increasing
done
clear
B)
decreasing
done
clear
C)
neither decreasing nor increasing
done
clear
D)
none of the above
done
clear
View Answer play_arrow
question_answer 129) The value of \[\int_{0}^{\pi /2}{\frac{\frac{\pi }{4}-x}{\sqrt{\sin x+\cos x}}dx}\]is:
A)
\[\frac{\pi \sqrt{3}}{4}\]
done
clear
B)
\[\frac{\pi }{4\sqrt{2}}\]
done
clear
C)
0
done
clear
D)
none of these
done
clear
View Answer play_arrow
question_answer 130) If \[y=\sqrt{x+\sqrt{x+\sqrt{x+....\infty ,}}}\]then \[\frac{dy}{dx}\]is equal to:
A)
\[\frac{1}{2y+1}\]
done
clear
B)
\[\frac{1}{2y-1}\]
done
clear
C)
\[\frac{1}{xy}\]
done
clear
D)
1
done
clear
View Answer play_arrow
question_answer 131) If \[f:A\to B\]is a bijection, then:
A)
\[n(A)=n(B)\]
done
clear
B)
\[n(A)\le n(B)\]
done
clear
C)
\[n(A)\ge n(s)\]
done
clear
D)
none of these
done
clear
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question_answer 132) The equation of a straight line passing through \[(-3,2)\] and cutting an intercept equal in magnitude but opposite in sign from axis, is given by:
A)
\[x-y+5=0\]
done
clear
B)
\[x+y-5=0\]
done
clear
C)
\[~x-y-5=0\]
done
clear
D)
\[~x+y+5=0\]
done
clear
View Answer play_arrow
question_answer 133) If \[\frac{2{{z}_{1}}}{3{{z}_{2}}}\]is a purely imaginary number, then \[\left| \frac{{{z}_{1}}-{{z}_{2}}}{{{z}_{1}}+{{z}_{2}}} \right|\]is equal to:
A)
\[\frac{3}{2}\]
done
clear
B)
1
done
clear
C)
\[\frac{2}{3}\]
done
clear
D)
\[\frac{4}{9}\]
done
clear
View Answer play_arrow
question_answer 134) If \[pth,\text{ }qth,\text{ }rth,\text{ }sth\]terms of an arithmetic progression axe in geometric progression, then \[p-q,\,q-r\] and \[r-s\]are in:
A)
HP
done
clear
B)
GP
done
clear
C)
AP
done
clear
D)
no particular order
done
clear
View Answer play_arrow
question_answer 135) Two bodies are projected from the same point with the same velocity but in different directions. If the range in each case be R and times of flight be \[{{t}_{1}}\]and \[{{t}_{2}},\]then R is equal to:
A)
\[\frac{1}{2}g\,{{t}_{1}}{{t}_{2}}\]
done
clear
B)
\[g\,{{t}_{1}}{{t}_{2}}\]
done
clear
C)
\[\frac{1}{4}g\,{{t}_{1}}{{t}_{2}}\]
done
clear
D)
\[2g\,{{t}_{1}}{{t}_{2}}\]
done
clear
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question_answer 136) The reciprocal of the eccentricity of rectangular hyperbola is:
A)
\[\frac{1}{\sqrt{2}}\]
done
clear
B)
\[\sqrt{2}\]
done
clear
C)
\[\frac{1}{2}\]
done
clear
D)
2
done
clear
View Answer play_arrow
question_answer 137) If \[y=\frac{{{a}^{{{\cos }^{-1}}x}}}{1+{{a}^{{{\cos }^{-1}}x}}},z={{a}^{{{\cos }^{-1}}x}},\]then \[\frac{dy}{dx}\]is equal to:
A)
\[\frac{1}{1+{{a}^{{{\cos }^{-1}}x}}}\]
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B)
\[\frac{1}{{{(1+{{a}^{{{\cos }^{-1}}x}})}^{2}}}\]
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C)
\[\frac{-1}{1+{{a}^{{{\cos }^{-1}}x}}}\]
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D)
none of these
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question_answer 138) The value of \[\sin {{600}^{o}}\,\cos {{330}^{o}}+\cos {{120}^{o}}\sin {{150}^{o}}\]is:
A)
1
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B)
\[-1\]
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C)
\[\frac{\sqrt{3}}{2}\]
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D)
\[\frac{1}{\sqrt{2}}\]
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question_answer 139) The area of circle whose centre is \[(h,k)\] and radius a is:
A)
\[\pi {{a}^{2}}hk\,\text{sq}\,\text{unit}\]
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B)
\[\pi {{a}^{2}}\,\text{sq}\,\text{unit}\]
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C)
\[\pi ({{h}^{2}}+{{k}^{2}}-{{a}^{2}})\text{sq}\,\text{unit}\]
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D)
none of the above
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question_answer 140) If \[\left[ \begin{matrix} 3 & 1 \\ 4 & 1 \\ \end{matrix} \right]X=\left[ \begin{matrix} 5 & -1 \\ 2 & 3 \\ \end{matrix} \right]\], then X is equal to:
A)
\[\left[ \begin{matrix} -3 & 4 \\ -4 & 13 \\ \end{matrix} \right]\]
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B)
\[\left[ \begin{matrix} 3 & 4 \\ 14 & 13 \\ \end{matrix} \right]\]
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C)
\[\left[ \begin{matrix} -3 & 4 \\ 14 & -13 \\ \end{matrix} \right]\]
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D)
\[\left[ \begin{matrix} 3 & -4 \\ -14 & 13 \\ \end{matrix} \right]\]
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question_answer 141) If\[\vec{a},\vec{b},\vec{c}\] are coplanar vectors, then \[[\vec{a}+\vec{b}\vec{b}+\vec{c}\vec{c}+\vec{a}]\] is equal to:
A)
\[2|\vec{a}\vec{b}\vec{c}|\]
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B)
\[|\vec{a}\vec{b}\vec{c}|\]
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C)
\[3|\vec{a}\vec{b}\vec{c}|\]
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D)
0
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question_answer 142) If the resultant of two unlike parallel forces of magnitudes 10 N and 16 N act along a line at a distance of 24 cm from the line of action of the smaller force is 8 N, then the distance between the lines of action of the force is:
A)
12 cm
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B)
8 cm
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C)
10.66 cm
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D)
18 cm
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question_answer 143) The resultant of two forces \[\vec{P}\]and \[\vec{Q}\]is of magnitude P. If the force \[\vec{P}\] is doubled, \[\vec{Q}\]remaining unaltered, then the new resultant will be:
A)
along \[\vec{P}\]
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B)
along \[\vec{Q}\]
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C)
at \[{{60}^{o}}\]to\[\vec{Q}\]
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D)
at right angle to \[\vec{Q}\]
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question_answer 144) If the ratio of the sum of m and \[n\]terms of an AP is \[{{m}^{2}}:{{n}^{2}},\]then the ratio of its \[mth\]and \[nth\]terms is:
A)
\[m-1:n-1\]
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B)
\[2m+1:2n+1\]
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C)
\[2m-1:2n-1\]
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D)
none of these
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question_answer 145) A body. dropped from a height \[h\]at time \[t=0\]reaches the ground at tune \[{{t}_{0}}.\]would have reached a height \[h/2\]at time:
A)
\[\frac{{{t}_{0}}}{2}\]
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B)
\[\frac{{{t}_{0}}}{\sqrt{2}}\]
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C)
\[t_{0}^{2}\]
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D)
\[\frac{1}{t_{0}^{2}}\]
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question_answer 146) The area in the first quadrant between \[{{x}^{2}}+{{y}^{2}}={{\pi }^{2}}\]and \[y=\sin x\]is:
A)
\[\frac{{{\pi }^{3}}}{4}sq\]unit
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B)
\[\frac{{{\pi }^{3}}-16}{4}\text{sq}\,\text{unit}\]
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C)
\[\frac{{{\pi }^{3}}-8}{2}\text{sq}\,\text{unit}\]
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D)
\[\frac{{{\pi }^{3}}-8}{4}sq\,unit\]
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question_answer 147) In triangle ABC, if\[~3a=b+c,\] then \[\cot \frac{B}{2}\cot \frac{C}{2}\] is equal to:
A)
\[\sqrt{3}\]
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B)
1
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C)
2
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D)
3
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question_answer 148) If \[f(x)=2x+{{\cot }^{-1}}x+\log (\sqrt{1+{{x}^{2}}}-x),\]then \[f(x)\]:
A)
increases in \[(-\infty ,\infty )\]
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B)
decreases in \[(0,\infty )\]
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C)
neither increases nor decreases in \[(0,\infty )\]
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D)
sometimes increases and sometimes decreases
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question_answer 149) The series \[(1+3){{\log }_{e}}3+\frac{1+{{3}^{2}}}{2!}{{({{\log }_{e}}3)}^{2}}\]\[+\frac{1+{{3}^{2}}}{3!}{{({{\log }_{e}}3)}^{2}}+...\]is equal to:
A)
28
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B)
30
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C)
25
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D)
0
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question_answer 150) \[\int_{{}}^{{}}{\frac{\cos 4x-1}{\cot x-\tan x}}dx\]is equal to:
A)
\[-\frac{1}{2}\cos 4x+c\]
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B)
\[-\frac{1}{4}\cos 4x+c\]
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C)
\[-\frac{1}{2}\sin 2x+c\]
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D)
none of these
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