Q. If a solenoid of magnetic moment $0.2A{m}^2$ in a uniform magnetic field $0.16$T experiences a torque $0.016$Nm, then angle made by a solenoid axis with magnetic field is _____________.

1. ${30}^o$
2. ${45}^o$
3. ${90}^o$
4. ${60}^o$

Q. A uniform aluminium wire of length $3$m and area of cross-section $2$ $m{m}^2$ is extended through $12mm$. The energy stored in the wire is ___________. ($Y_{Al}=7\times {10}^{10}N/m^2$)

1. $336J$
2. $33.6J$
3. $3.36J$
4. $0.336J$

Q. In cyclotron, radius of circular path traced by positive ions is ____________.

1. directly proportional to velocity
2. inversely proportional to velocity
3. directly proportional to square root of velocity
4. inversely proportional to square root of velocity

Q. The height at which the acceleration due to gravity is $25\%$ of that of the surface of earth is ____________. (R=Radius of the earth)

1. $h=3R$
2. $h=2R$
3. $h=R$
4. $h=\frac{R}{2}$

Q. Which of the following relation is not correct?

1. $\overrightarrow{V}=\overrightarrow{\omega }\times \overrightarrow{r}$
2. $\overrightarrow{\delta s}=\overrightarrow{\delta \theta }\times \overrightarrow{r}$
3. $V=r\omega$
4. $\overrightarrow{V}=\overrightarrow{r}\times \overrightarrow{\omega }$

Q. Sensitivity of a moving coil galvanometer can be increased by _____________. Fill in the blank.

1. decreasing number of turns in rectangular coil
2. decreasing magnetic induction of magnetic field
3. increasing twist constant of phosphor bronze fiber
4. increasing area of rectangular coil

Q. In vertical circular motion, the ratio of kinetic energy to potential energy at the horizontal position is ____________.

1. $3:2$
2. $2:3$
3. $5:2$
4. $2:1$

Q. If the light is incident on a transparent medium at a polarising angle then the angle between the reflected and refracted rays is __________.

1. ${30}^o$
2. ${60}^o$
3. ${90}^o$
4. ${180}^o$

Q. In a circus, a motor cyclist moves in a spherical cage of radius $5$m. The minimum velocity with which he must cross the highest point without loosing contact is __________. (Take $g=9.8m/s^2$)

1. $3m/s$
2. $6m/s$
3. $5m/s$
4. $7m/s$

Q. The M.I of solid cylinder of mass ${}^{\prime }{M}^{\prime }$, length ${}^{\prime }{l}^{\prime }$ and radius ${}^{\prime }{R}^{\prime }$ about a transverse axis passing through its centre is :

1. $\frac{M{R}^2}{12}+\frac{M{l}^2}{4}$
2. $\frac{M{R}^2}{4}-\frac{M{l}^2}{12}$
3. $\frac{M{R}^2}{12}-\frac{M{l}^2}{4}$
4. $\frac{M{R}^2}{4}+\frac{M{l}^2}{12}$

Q. A parallel plate air condenser has capacity of $20\mu F$. If the distance between two plates is doubled, then new capacity will be ________.

1. $5\mu F$
2. $15\mu F$
3. $10\mu F$
4. $20\mu F$

Q. When a dielectric slab is introduced between the two plates of condenser then its capacity ___________.

1. remains constant
2. may increase or decrease depending on the material of dielectric slab
3. decreases
4. increases

Q. A particle is performing linear S.H.M. with period 6 s and amplitude 'a'. The minimum time taken by the particle to travel between two points situated at a distance $\frac{a}{2}$ on either sides of mean position is :

1. $1$ s
2. $1.5$ s
3. $3$ s
4. $6$ s

Q. If the wavelength of red light in air is $7500$ $\stackrel{o}{A}$, then the frequency of light in air is ___________.

1. $7.5\times {10}^{10}$Hz
2. $3\times {10}^{14}$Hz
3. $4\times {10}^{14}$Hz
4. $5\times {10}^{14}$Hz

Q. A soap bubble of radius $\sqrt{7}$cm is blown. Work done in this process is used to store energy in capacitor at potential of $1$V using transducer. Charge stored is ________.

1. $10.56\mu C$
2. $5.28\mu C$
3. $21.12\mu C$
4. $21.12mC$

Q. When one drop of a liquid is broken into number of droplets, which of the statement is correct?

1. Surface energy decreases
2. Surface area decreases
3. Temperature of liquid increases
4. Surface area increases

Q. Which of the following methods does not help to minimize the error due to contact resistance in Wheatstone's meter bridge experiment:

1. The wire used must be uniform
2. The wire used must be non-uniform
3. Null point is obtained near the middle of the wire
4. Interchange the positions of unknown resistance (X) and known resistance(R)

Q. An object of mass '$m$' is kept on a horizontal platform. The platform is oscillating vertically with amplitude '$a$' and period '$T$'. The weight of object at lowest position is:

1. $ma{\omega }^2$
2. $mg$
3. $mg-ma{\omega }^2$
4. $mg+ma{\omega }^2$

Q. The M.I. of uniform solid sphere about its diameter is 'I'. Its moment of inertia about a tangent is ___________.

1. $\frac{4}{3}I$
2. $\frac{5}{3}I$
3. $\frac{5}{4}I$
4. $\frac{7}{2}I$

Q. A rigid body of radius 'R' and radius of gyration 'K' is rolling down along a rough inclined plane of inclination $\theta$ from height 'h'. It's linear acceleration is _________.

1. $\frac{g\sin \theta }{\frac{k^2}{R^2}-1}$
2. $\frac{g\sin \theta }{1+\frac{R^2}{K^2}}$
3. $\frac{g\sin \theta }{\frac{R^2}{K^2}-1}$
4. $\frac{g\sin \theta }{1+\frac{K^2}{R^2}}$

Q. In an L.C.R series resonant circuit, the power factor is __________.

1. $2\pi$
2. $\infty$
3. $1$
4. $0$

Q. The distance of $n^{th}$ bright band on the screen from the central bright band on either sides of central bright band is __________.

1. $x_n=\frac{n\lambda D}{d}$
2. $x_n=(2n-1)\frac{\lambda D}{d}$
3. $x_n=\frac{n\lambda d}{D}$
4. $x_n=(2n-1)\frac{\lambda D}{2d}$

Q. Monochromatic light of wavelength $4500$ $\stackrel{o}{A}$ falls on slit of width 'a'. In diffraction pattern second maxima deviates through ${30}^o$. The slit width is ________.

1. $900\stackrel{o}{A}$
2. $18000\stackrel{o}{A}$
3. $13500\stackrel{o}{A}$
4. $22500\stackrel{o}{A}$

Q. Four resistances $4\Omega ,6\Omega ,18\Omega$ and $8\Omega$ are connected in arms AB, BC, CD and DA respectively of Wheat stone's network. The shunt resistance across $18\Omega$ to balance the network is _________.

1. $12\Omega$
2. $16\Omega$
3. $18\Omega$
4. $36\Omega$

Q. Thick blocks of metals are never used as a core in the transformer because, _________.

1. it generates current
2. it generates emf
3. it generates induction
4. it generates heat

Q. A uniform steel rod of $2.5m{m}^2$ cross sectional area is heated through ${40}^o$C. The force exerted on it is _________. $({\alpha }_{steel}=1.2\times {10}^{-5}{/}^{o}C,Y_{steel}=2\times {10}^{11}N/m^2)$

1. $480$N
2. $340$N
3. $240$N
4. $140$N

Q. A piece of material moves very slowly towards a pole of magnet. The material must be _____________.

1. Diamagnetic
2. Ferromagnetic
3. Paramagnetic
4. Ferrimagnetic

Q. The bending of light near the edges of an obstacle and spreading into the region of geometrical shadow is called ___________.

1. Interference
2. Diffraction
3. Polarization
4. Doppler effect

Q. If the length of simple pendulum is increased to four times then its period __________.

1. becomes doubled
2. remains same
3. becomes three times
4. becomes four times

Q. The relative velocity of geostationary satellite with respect to the spinning motion of the Earth is

1. $0m/s$
2. $6m/s$
3. $12m/s$
4. $14m/s$