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1. A particle of mass m moving with velocity 1 m/s collides perfectly elastically with another particle of mass 2m (at rest). If the incident particle is deflected by 90°, the heavy mass will make an angle with the initial direction of m, equal to:

1. 30 degree
2. 45 degree
3. 60 degree
4. 90 degree

2. A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remain 1. Then radius of disc is:

1. 8R/sqrt(5)
2. 4R/sqrt(5)
3. 2R/sqrt(15)
4. 6R/sqrt(15)

3. A thin rod of length 3L is bent at right angle from one end as shown in figure. The coardinate of centre of mass will be (0 is taken as origin):

1. (L/2, L/3)
2. (L/6, 2L/3)
3. (L/2, 2L/3)
4. (L/6, L/3)

4. Which of the following physical quantity is a scalar:

1. Current
2. Area
3. Force
4. Momentum

5. Which is a vector quantity in pressure and force:

1. Force
2. pressure
3. both a and b
4. None of the above

6. The divergence of position vector r is:

1. 2
2. 1
3. 3
4. 0

7. The term ‘exchange interaction’ is used to explain:

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

8. A sensitive magnetic instrument can be shielded very effectively from outside fields by placing it inside a box made of:

1. teak wood
2. soft iron of high permeability
3. metals of high conductivity
4. plastics

9. How many times more intense is a 60 dB sound than a 30 dB sound:

1. 10
2. 2
3. 1000
4. 100

10. Hydrogen atom does not emit X-rays because:

1. energy levels in it are far apart
2. its size is very small
3. energy levels in it are very close to each other
4.it contains only a single electron

11. If an electron and a proton have the same de-Broglie wavelength, then the kinetic energy of the electron is:

1. more than that of a proton
2. equal to that of a proton
3. less than that of a proton
4. None of the above

12. Which Instrument is used to determine the intensity of colors?

1. Cathetometer
2. Commutator
3. Colorimeter
4. Chronometer

13. _______is the unit for Viscosity:

1. newton second per square meter
2. joule per kilogram per kelvin
3. Coulomb
4. watt per meter per degree Celsius

14. What is the audible range of the frequency?

1. frequency between 20Hz to 20kHz
2. frequency less than 20 Hz
3. frequency more than 20kHz
4. Any frequency

15. A car is travelling at speed 30 m/s on a circular road of radius 500 m. It is increasing in speed at the rate of 2 ms^-2. The acceleration of car is(in units of SI):

1. 4
2 2.7
3. 5
4. 6

16. The ratio of mass of a planet to that of the earth, if its radius is half that of the earth and acceleration due to gravity on its surface is twice that on earth’s surface, is:

1. 2
2. 0.5
3. 1
4. 4

17. The escape velocity of a body is proportional to 'n' is power of its mass. Here n is:

1. 0
2. 1/2
3. 3/2
4. 1

18. The elastic constants of a solid does not depend on:

1. temperature
2. impurities
3. crystalline structure of the material
4. shape and size

19. Two wires of same material of radii r and 2r, and lengths 2L and L respectively are loaded with equal weights. The ratio of extensions in the two wires will be:

1. 1/4
2. 1
3. 1/8
4. 8/1

20. If thermal radiation pass through free space then the temperature of the free space:

1. does not change
2. decreases
3. increases
4. may increase or decrease depending on the wavelength of the radiation