The questions for the MHT Common Entrance Test which is required for preparation purpose are as follows

1. Wein's displacement law is given by
A. λ m =constant
B. T/λ m =constant
C. λ m T =constant
D. T = λ m= constant

2. If two electrons are forced to come closer to each to each other, then the potential energy
A. becomes zero B. increases C. decreases D. becomes infinite

3. The specific heat at constant pressure is greater than that of the same gas at constant volume because
A. at constant volume work is done in expanding the gas
B. at constant pressure work is done in expanding the gas
C. the molecular attraction increases more at constant pressure
D. the molecular vibration increases more at constant pressure

4. The specific heats of CO2 at constant pressure and constant volume are 0.833 J/kg. K and 0.641 J/kg. K respectively. If molecular weight of CO2 is 44, what is the universal constant R?
A. 4.19 x 107 erg/cal B. 848.8 J/gm/K C. 8.448 J/mol/K D. 4.19 J/cal

5. The freezing point of the liquids decreases when pressure is increased, if the liquid
A. expands while freezing B. contracts while freezing
C. does not change in volume while freezing D. none

6. The equation of a transverse wave on a stretched string is given by
y = 0.05 sin π (2t/0.002 -x/0.1 ) where x and y are expressed in metres and t in sec.
The speed of the wave is
A.100 m/sec B. 50 m/s C. 200 m/s D. 400 m/s

7. The ratio of velocity of the body to the velocity of sound is called
A. Magic number B. Laplace number C. Natural number D. Mach number

8. Television signals on earth cannot be received at distances greater than 100 km from the transmission station. The reason behind this is that
A. the receiver antenna is unable to detect the signal at a distance greater than 100 km
B. the TV programme consists of both audio and video signals
C. the TV signals are less powerful than radio signals
D. the surface of earth is curved like a sphere

9. A ball is thrown from a height of h m with an initial downward velocity v0. It hits the ground, loses half of its Kinetic energy & bounces back to the same height. The value of v0 is
A. √2gh B. √gh C. √3gh D. √2.5gh

10. A thick rope of rubber of density 1.5 x 103kg/m3 and Young's modulus 5 x 106 N/m2 , 8m in length, when hung from ceiling of a room, the increase in length due to its own weight is
A. 9.6 x 10-3m
B. 19.2 x10-5m
C. 9.6cm
D. 9.6mm

11. Water is falling on the blades of a turbine at a rate 6000Kg/min. The height of the fall
is100m. What is the power gained by the turbine?
A. 10KW B. 6KW C. 100KW D. 600KW

12. If momentum of alpha-particle, neutron, proton, and electron are the same, the minimum K.E. is that of
A. alpha-particle B. neutron C. proton D. electron

13. An electric motor while lifting a given load produces a tension of 4500 N in the cable attached to the load. If the motor winds the cable at the rate of 2m/s, then power must be
A. 9 kW B. 15 kW C. 225 kW D. 9000 H.P

14. If an electric iron electrons are accelerated through a potential difference of V volts. Taking electronic charge and mass to be respectively e and m, the maximum velocity attained by the electrons is
A. 2eV/√m B. √(2eV)/m
C. 2m/eV D. v2/8em

15. A particle is moving on a circular track of radius 20 cm with a constant speed of 6 m/s. Its acceleration is
A. 0
B. 180 m/s2
C. 1.2 m/s2
D. 36 m/s2

16. A satellite of the earth is revolving in a circular orbit with a uniform speed v. If gravitational force suddenly disappears, the satellite will:
A. continue to move with the speed v along the original orbit
B. move with the velocity v tangentially to the original orbit
C. fall downward with increasing velocity
D. ultimately come to rest somewhere on the original orbit

17. The kinetic energy K of a particle moving along a circle of radius R depends on the distance covered s as K = as2 . The force acting on the part1cle is
A. 2as2/R B. 2as(1 + s2/R)1/2
C. as(1 + s2/R2)1/2 D. None of these

18. Einstein was awarded Nobel Prize for his work in
A. Photoelectric effect B. Special theory of relativity
C. General theory of relativity D. None of these

19. One second is defined to be equal to
A. 1650763.73 periods of the Krypton clock B. 652189.63 periods of the Krypton clock
C. 1650763.73 periods of the Cesium clock D. 9192631770 periods of the Cesium clock

20. The dimensions of energy and torque respectively are
A. ML2
T-2 and ML2
T-2 B. MLT2 and ML2
T-2 C. ML2
T-2 and MLT-2 D. MLT-2 and MLT-2