1.
From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?

2.
The magnetic susceptibility is negative for :

3.
A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15m/s. Then, the frequency of sound that the observer hears in the echo reflected from the cliff is:

(Take velocity of sound in air=330m/s)

4.
In a diffraction pattern due to a single slit of width 'a', the first minimum is observed at an angle 30° when light of wavelength 5000Å is incident on the slit. The first secondary maximum is observed at an angle of-

5.
Out of the following options which one can be used to produce a propagating electromagnetic wave?

6.
At what height from the surface of earth the gravitation potential and the value of g are (-5.4 x 10) J kg-² and 6.0 ms-² respectively?

(Take the radius of earth as 6400km)

7.
A refrigerator works between 4°C and 30°C. It is required to remove 600 calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is:

(Take 1 cal=4.2 Joules)

8.
An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same tuning fork is:

9.
A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3. Wien's constant, b=2.88 x 10⁶ nmK. Which of the following is correct?

10.
Coefficient of linear expansion of brass and steel rods are a1 and a2. Lengths of brass and steel rods are l1 and l2 respectively. If (l2-l1) is maintained same at all temperatures, which one of the following relations holds good?

11.
A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?

12.
The angle of incidence for a ray of light at a refracting surface of a prism is 45°. The angle of prism is 60°. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are:

13.
The molecules of a given mass of a gas have r.m.s. velocity of 200 ms-¹ at 27°C and (1.0x105)Nm-² pressure. When the temperature and pressure of the gas are respectively, 127°C and (0.05x10⁵) Nm-², the r.m.s. velocity of its molecules in ms-¹ is:

14.
When an α particle of mass 'm' moving with velocity v bombards on a heavy nucleus of charge "Ze", its distance of closest approach from the nucleus depends on m as:

15.
A particle moves so that its position vector is given by r=cosωtx̂+sinωtŷ,where ω is a constant.Which of the following is true ?

16.
What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

17.
A potentiometer wire is 100 cm long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at 50 cm and 10 cm from the positive end of the wire in the two cases. The ratio of emf's is :

18.
A astronomical telescope has objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance:

19.
To get output 1 for the following circuit, the correct choice for the input is-

20.
A piece of ice falls from a height h so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of h is:

[Latent heat of ice is 3.4 x 10⁵ J/kg and g = 10 N/kg]

21.
The ratio of escape velocity at earth (Ve) to the escape velocity at a planet (Vp) whose radius and mean density are twice as that of earth is :

22.
If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is :

23.
Given the value of Rydberg constant is 10⁷m-¹, the wave number of the last line of the Balmer series in hydrogen spectrum will be:

24.
An inductor 20 mH, a capacitor 50µF and a resistor 40Ω are connected in series across a source of emf V= 10 sin 340 t. The power loss in A.C. circuit is :

25.
A long solenoid has 1000 turns. When a current of 4A flows through it, the magnetic flux linked with each turn of the solenoid is 4 x 10-³ Wb. The self inductance of the solenoid is:

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