Q. The internal resistance of a primary cell is $4\Omega$. It generates a current of $0.2A$ in an external resistance of $21\Omega$. The rate at which chemical energy is consumed in providing current is

1. $0.42J/s$
2. $1J/s$
3. $0.8J/s$
4. $5J/s$

Q. A balloon contains $500m^3$ of helium at ${27}^{o}C$ and $1atmosphere$ pressure. The volume of helium at $-3^{o}C$ temperature and $0.5atmosphere$ pressure will be

1. $500m^3$
2. $700m^3$
3. $900m^3$
4. $1000m^3$

Q. 220 V, 50 Hz, AC source is connected to an inductance of 0.2 H and a resistance of 20 $\Omega$ in series. What is the current in the circuit?

1. 3.33 A
2. 5 A
3. 10 A
4. 33.3 A

Q. A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an upright image of the object coincident with it

1. 30 cm
2. 60 cm
3. 50 cm
4. 12 cm

Q. Two rigid bodies A and B rotate with rotational kinetic energies $E_A$ and $E_B$ respectively. The moments of inertia of A and B about the axis of rotation are $I_A$ and $I_B$ respectively. If $I_A=I_B/4$ and $E_A/100=E_B$ the ratio of angular momentum $\left(L_A\right)$ of A to the angular momentum $\left(L_B\right)$ of B is

1. 25
2. 5
3. 5/4
4. 1/4

Q. A body is thrown with a velocity of 9.8 m/s making an angle of ${30}^o$ with the horizontal. It will hit the ground after a time

1. 1 s
2. 1.5 s
3. 2 s
4. 3 s

Q. Light travels faster in air than that in glass. This is accordance with

1. corpuscular theory of light
2. neither (a) nor (b)
3. wave theory of light
4. Both (a) and (b)

Q. A gas expands $0.25m^3$ at constant pressure ${10}^{3}N/m^2$. The work done is

1. 250 N
2. 250 J
3. 250 W
4. 2.5 erg

Q. The escape velocity for the earth is 11.2 km/s. The mass of another planet 100 times mass of earth and its radius is 4 times radius of the earth. The escape velocity for the planet is

1. 112 km/s
2. 24 km/s
3. 280 km/s
4. 56.0 km/s

Q. Minimum excitation potential of Bohr's first orbit in hydrogen atom is

1. 3.6 eV
2. 13.6 eV
3. 10.2 eV
4. 3.4 eV

Q. A radioactive element $X_{90}^{238}$ decays into $Y_{83}^{222}$. The number of $\beta$-particles emitted are

1. 1
2. 2
3. 4
4. 6

Q. A galvanometer acting as a voltmeter should have

1. a low resistance in series with its coil
2. a low resistance in parallel with its coil
3. a high resistance in series with its coil
4. a high resistance in parallel with its coil

Q. A transverse wave is represented by the equation $y=y_{0}sin\left(\frac{2\pi }{\lambda }\right)(vt-x)$. For what value of X is the particle velocity equal to two times the wave velocity?

1. $\lambda =\pi y_0$
2. $\lambda =\frac{\pi y_0}{2}$
3. $\lambda =\frac{2\pi }{y_0}$
4. $\lambda =\frac{\pi y_0}{3}$

Q. In $0.2$ s, the current in a coil increases from $2.0$ A to $3.0A$. If inductance of coil is $60mH$, then induced current in external resistance of $3\Omega$ will be

1. $1A$
2. $0.5A$
3. $0.2A$
4. $0.1A$

Q. A parallel plate condenser is filled with two dielectrics as shown in figure. Area of each pate is $A{m}^2$ and the separation is $d$ metre. The dielectric constants are $K_1$ and $K_2$ respectively. Its capacitance (in farad) will be :

1. $\frac{2{\in }_{0}A}{d}\left(\frac{K_1+K_2}{K_1{K}_2}\right)$
2. $\frac{2{\in }_{0}A}{d}\left(\frac{K_1{K}_2}{K_1+K_2}\right)$
3. $\frac{{\in }_{0}A{K}_1{K}_2}{2(d_2{K}_1+d_1{K}_2)}$
4. $\frac{{\in }_{0}A}{d}\left(\frac{K_1+K_2}{2K_1{K}_2}\right)$

Q. A car of mass $1000kg$ moves on a circular track of radius $40m$. If the coefficient of friction is 1.28 then the maximum velocity with which the car can be moved is:

1. $22.4m/s$
2. $1000m/s$
3. $112m/s$
4. $\frac{(0.64\times 40)}{(1000\times 100)}m/s$

Q. A black body has a wavelength of $\lambda$ at temperature 2000 K. Its corresponding wavelength at temperature 3000 K will be

1. $\frac{2\lambda }{3}$
2. $\frac{3\lambda }{2}$
3. $\frac{4\lambda }{9}$
4. $\frac{9\lambda }{4}$

Q. Two simple pendulums of length 0.5 m and 2 m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed x oscillations, where x is:

1. 1
2. 3
3. 2
4. 5

Q. The working principle of a ball point pen is:

1. Bernoullis theorem
2. Surface tension
3. Gravity
4. Viscosity

Q. Two coherent light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are :

1. $5I$ and $I$
2. $9I$ and $3I$
3. $9I$ and $I$
4. $5I$ and $3I$

Q. A battery of emf 10 V and internal resistance of 0.5 ohm is connected across a variable resistance R. The value of R for maximum power transfer is given by

1. $0.5\Omega$
2. $1.00\Omega$
3. $2.0\Omega$
4. $0.25\Omega$

Q. The work done in increasing the size of a soap film from $10cm\times 6m$ to $10cm\times 11cm$ is $3\times {10}^{-4}J$. The surface tension of the film is:

1. $1.0\times {10}^{-2}N/m$
2. $6.0\times {10}^{-2}N/m$
3. $1.5\times {10}^{-2}N/m$
4. $3.0\times {10}^{-2}N/m$

Q. Ionisation potential of hydrogen atom is 13.6 eV. Hydrogen atom on the ground state rarely excited by monochromatic radiation of photon 12.1 eV. The special line emitted by a hydrogen atom according to Bohr's theory will be :

1. One
2. Two
3. Three
4. Four

Q. Progressive waves are represented by the equation $y_1=asin(\omega t-x)$ and $y_2=bcos(\omega t-x)$. The phase difference between waves is

1. $0^o$
2. ${90}^o$
3. ${45}^o$
4. ${180}^o$

Q. The equivalent resistance across A and B is

1. $2\Omega$
2. $3\Omega$
3. $4\Omega$
4. $5\Omega$

Q. A point source of light is placed $4m$ below the surface of water of refractive index $5/3$. The minimum diameter of a disc which should be placed over the source on the surface of water to cut-off all light coming out of water is :

1. $6m$
2. $3m$
3. $4m$
4. $2m$

Q. The binding energy per nucleon is maximum in the case

1. ${}_4^{2}He$
2. ${}_{56}^{141}Ba$
3. ${}_{92}^{235}U$
4. ${}_{26}^{56}Fe$

Q. The speed of air flow on the upper and lower surfaces of a wing of an aeroplane are $v_1$ and $v_2$ respectively. If A is the cross section area of the wing and $\rho$ is the density of air, then the upward lift is :

1. $\frac{1}{2}\rho A(v_1+v_2)$
2. $\frac{1}{2}\rho A(v_1-v_2)$
3. $\frac{1}{2}\rho A(v_1^2-v_2^2)$
4. $\frac{1}{2}\rho A(v_1^2+v_2^2)$

Q. A moving body of mass m and velocity 3 km/h collides with a rest body of mass 2m and stick to it. Now the combined mass starts to move. what will be the combined velocity?

1. 3 km/h
2. 1 km/h
3. 4 km/h
4. 2 km/h

Q. For a gas, $\frac{R}{C_v}$$=0.67$. This gas is made up of molecules which are

1. Mono atomic
2. Poly atomic
3. Mixture of diatomic and poly atomic molecules
4. Diatomic