The electron in a hydrogen atom makes a transition n₁→n₂, where n₁ and n₂ are the principal quantum numbers of the two states. Assume the Bohr model as valid in this case. The frequency of the orbital motion of the electron in the initial state is 1 / 27 of that in the final state. The possible values of n₁ and n₂ are

1) n₁=6,n₂=3
2) n₁=4,n₂=2
3) n₁=8,n₂=1
4) n₁=3,n₂=1

How far will a brick starting from rest fall freely in 3.0 seconds?
 
 1) 15 m
 2) 29 m
 3) 44 m
 4) 88 m

 Ratio of De-Broglie wavelengths of a proton and an alpha particle of the same energy is :

(1) 1 : 4             (2) 4: 1

(3) 1: 2             (4) 2 : 1

The temperature of 100 g of water is to be raised from 24° C to 90° C by adding steam to it. Calculate the mass of the steam required for this purpose (latent heat of steam = 540 k Cal/kg)
1.10 g
2. 11 g
3. 12 g
4. 15 g

.If the escape velocity of a rocket from the surface of the Earth is ve , then the escape velocity of the same rocket from the surface of a planet whose acceleration due to gravity as well as radius are 3 times that of the Earth is
 
 1) v_e
 2) v_e / 3
 3) 3 v_e
 4) 9 v_e

From the top of twer of height 40 m a ball is projected upwards with a speed of 20m/s at an angle of elevation of 30°. Then the ratio of the total time taken by the ball to hit the ground to its time of flight ( time taken to come back to the same elevation ) is

1) 2 : 1
2) 3 : 1
3) 3 : 2
4) 4 : 1

A source of 220V is applied in an A.C. circuit. The value of resistance is 220Ω. Frequency & inductance are 50 Hz and 0.7 H, then wattless current is 

1) 0.5amp
2) 0.7amp
3) 1.0amp
4) none

If the degrees of freedom of a gas are f, the ratio of its two specific heats, C_P/C_V, is given by:

1) 1 - (1/f)
2) 1 – (2/f)
3) 1 + (1/f)
4) 1 + (2/f)

A student is using a convex lens of focal length 10 cm to study the image formation by a convex lens for the various positions of the object. In one of his observations, he may observe that when the object is placed at a distance of 20 cm from the lens, its image is formed at (select the correct option)

1) 20 cm on the other side of the lens and is of the same size, real and erect.
2) 40 cm on the other side of the lens and is magnified, real and inverted
3) 20 cm on the other side of the lens and is of the same size, real and inverted.
4) 20 cm on the other side of the lens and is of the same size, virtual and erect. 

A plane mirror is placed along the x-axis facing negative y-axis. The mirror is fixed. A point object is moving with $$3\hat{i} \, + \, 4\hat{j}$$ in front of the plane mirror. The relative velocity of image with respect to its object is

1) $$-8\hat{j}$$
2) $$8\hat{j}$$
3) $$3\hat{i} \, - \, 4\hat{j}$$
4) $$-6\hat{i}$$