Q. The particles emitted in the decay of ${}_{92}^{238}U$ to ${}_{92}^{234}U$

1. $2\alpha$ and $2\beta$
2. $1\alpha$ and $2\beta$
3. $1\alpha$ and $1\beta$
4. $1\alpha$ only

Q. In meter bridge experiment, with a standard resistance in the right gap and a resistance coil dipped in water (in a beaker) in the left gap, the balancing length obtained is '$L$'. If then temperature of water is increased the new balancing length is

1. $=0$
2. $=1$
3. $<1$
4. $>1$

Q. The angle between velocity and acceleration of a particle describing uniform circular motion is

1. ${180}^o$
2. ${45}^o$
3. ${90}^o$
4. ${60}^o$

Q. In the figure shown, if the diode forward voltage drops is $0.2V$, the voltage difference between $A$ and $B$ is

1. $1.3V$
2. $2.2V$
3. $0.5V$
4. $0$

Q. The susceptibility of a ferromagnetic substance is

1. $<1$
2. $\gg 1$
3. $>1$
4. Zero

Q. In a system of two crossed polarisers, it is found that the intensity of light from the second polarizer is half from that of first polarizer. The angle between their pass axes is

1. ${30}^o$
2. ${45}^o$
3. ${60}^o$
4. $0^o$

Q. In the A.C. circuit shown, keeping '$K$' pressed, if an iron rod is inserted into the coil, the bulb in the circuit

1. Gets damaged
2. Glows less brightly
3. Glows with same brightness (as before the rod is inserted)
4. Glows more brightly

Q. A particle is dropped from a height '$H$'. The de Broglie wavelength of the particle depends on height as

1. $H$
2. $H^{-1/2}$
3. $H^0$
4. $H^{1/2}$

Q. The S.I. unit of specific heat capacity is

1. $J{mol}^{-1}{K}^{-1}$
2. $J{kg}^{-1}{K}^{-1}$
3. $J{kg}^{-1}$
4. $J{K}^{-1}$

Q. A proton, a deuteron and an $\alpha$-particle are projected perpendicular to the direction of a uniform magnetic field with same kinetic energy. The ratio of the radii of the circular paths described by them is

1. $\sqrt{2}:1:\sqrt{2}$
2. $1:\sqrt{2}:1$
3. $\sqrt{2}:\sqrt{2}:1$
4. $\sqrt{2}:1:1$

Q. For which combination of working temperatures, the efficiency of 'Carnot's engine is the least?

1. $40K,20K$
2. $60K,40K$
3. $100K,80K$
4. $80K,60K$

Q. 'Hydraulic lift' works on the basis of

1. Pascal's Law
2. Toricelli's Law
3. Stoke's Law
4. Bernoulli's Law

Q. Which of the following semi-conducting devices is used as voltage regulator?

1. Zener diode
2. LASER diode
3. Photo diode
4. Solar cell

Q. A bar magnet is allowed to fall vertically through a copper coil placed in a horizontal plane. The magnet falls with a net acceleration

1. $=g$
2. $<g$
3. $>g$
4. Zero

Q. Two sphere of electric charges $+2$ nC and $-8$ nC are placed at a distance '$d$' apart. If they are allowed to touch each other, what is the new distance between them to get a repulsive force of same magnitude as before?

1. $\frac{d}{2}$
2. $\frac{3d}{4}$
3. $d$
4. $\frac{4d}{3}$

Q. Two simple pendulums $A$ and $B$ are made to oscillate simultaneously and it is found that $A$ completes $10$ oscillations in $20$ sec and $B$ completes $8$ oscillations in $10$ sec. The ratio of the lengths of $A$ and $B$ is

1. $\frac{5}{4}$
2. $\frac{25}{64}$
3. $\frac{8}{5}$
4. $\frac{64}{25}$

Q. A coil of inductive reactance $1/\sqrt{3}\Omega$ and resistance $1\Omega$ is connected to $200V$, $50Hz$ A.C. supply. The time lag between maximum voltage and current is

1. $\frac{1}{600}s$
2. $\frac{1}{200}s$
3. $\frac{1}{300}s$
4. $\frac{1}{500}s$

Q. Two point charges $A=+3$ nC and $B=+1$ nC are placed $5cm$ apart in air. The work done to move charge $B$ towards $A$ by $1cm$ is :

1. $2.0\times {10}^{-7}J$
2. $2.7\times {10}^{-7}J$
3. $1.35\times {10}^{-7}J$
4. $12.1\times {10}^{-7}J$

Q. Which of the following logic gates considered as universal?

1. 
   
2. 
   
3. 
   
4. 
   

Q. The mean energy of a molecule of an ideal gas is

1. $KT$
2. $\frac{1}{2}KT$
3. $\frac{3}{2}KT$
4. $2KT$

Q. Of the following graphs, the one that correctly represents the I-V. characteristics of a Ohmic device is

1. 
   
2. 
   
3. 
   
4. 
   

Q. In young's double-slit experiment if yellow light is replaced by blue light, the interference fringes become.

1. darker
2. wider
3. narrower
4. brighter

Q. A system of $2$ capacitors of capacitance $2\mu F$ and $4\mu F$ is connected in series across a potential difference of $6V$. The electric charge and energy stored in the system are

1. $1\mu C$ and $3\mu J$
2. $8\mu C$ and $24\mu J$
3. $10\mu C$ and $30\mu J$
4. $36\mu C$ and $108\mu J$

Q. A basic communication system consists of
a) Transmitter
b) Information source
c) User of information
d) Channel
e) Receiver

1. a, b, c, d and e
2. b, e, a, d and e
3. b, d, a, c and e
4. b, a, d, e and c

Q. The waves set up in a closed pipe are

1. Longitudinal and Progressive
2. Transverse and Stationary
3. Transverse and Progressive
4. Longitudinal and Stationary

Q. According to Cartesian sign convention, in ray optics:

1. All distances are taken negative
2. All distances in the direction of incident ray are taken negative
3. All distances are taken positive
4. All distances in the direction of incident ray are taken positive

Q. During scattering of light, the amount of scattering is inversely proportional to ________ of wavelength of light.

1. Square
2. Fourth power
3. Cube
4. Half

Q. A car moving with a velocity of $20{ms}^{-1}$ is stopped in a distance of $40m$. If the same car is travelling at double the velocity, the distance travelled by it for same retardation is

1. $640m$
2. $320m$
3. $1280m$
4. $160m$

Q. $4\times {10}^{10}$ electrons are removed from a neutral metal sphere of diameter $20cm$ placed in air. The magnitude of the electric field (in ${NC}^{-1}$) at a distance of $20cm$ from its center is :

1. Zero
2. $640$
3. $1440$
4. $5760$

Q. The magnetic field at the center of a current carrying loop of radius $0.1m$ is $5\sqrt{5}$ times that at a point along its axis. The distance of this point from the center of the loop is

1. $0.1m$
2. $0.2m$
3. $0.25m$
4. $0.05m$