1. If water and mercury are rotated in a test tube

A. water will be forced to the outer partB. mercury will be forced to the outer partC. water and mercury will be throughly mixupD. water will be at the top and mercury at the bottom.

2. The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body, is

A. constant but not zeroB. increasing with timeC. zeroD. decreasing with time.

3. ispath its,for equation general The

constant. a isK where), j x iK(y vcity with velomoving is particleA ÙÙ

+=

A. y2 = x2 + constantB. y = x2 + constantC. y2=x + constantD. xy = constant

4. Read the passage and answer the question below:

Two projectiles are projected simultaneously from the top and bottom of a vertical tower of height h at angles 45° and 60° above horizontal respectively. Both strike at the same point on ground at distance 20 m from the foot of the tower after same time.

-The time of flight of projectiles is

A. (3)1/4

B. 2(3)1/4

C. 3(3)1/4

D. 4(3)1/4

5. A stone thrown upward with a speed u from the top of the tower reaches the ground with thevelocity 3u. The height of the tower is:

A. g

u 23

B. g

u24

C. g

u 26

D. g

u 29

6. Read the passage and answer the following question below?

Two blocks A and B of masses 10 kg and 12 kg respectively are kept on a rough wedge of inclination 30° 

and 60° respectively. The coefficient of friction between the block A and wedge is 0.6 while that between B and the wedge is 0.3. The blocks are connected by a light inextensible thread. The wedge is fixed with respect to ground.

-Force of friction acting on the block A is (take g = 10 m/s2)

A. 35.92 NB. 25.79 NC. 51.96 ND. 54.83N

7. A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m which applying the force and the ball goes upto 2 m height further, find the magnitude of the force. Consider g = 10 m/s2

A. 22 NB. 4 NC. 16 ND. 20 N

8. Determine the maximum acceleration of the train in which a box lying on its floor will remain stationary, given that the coefficient of static friction between the box and the train floor is 0.15 ?

A. 0.5 m/s2

B. 1 m/s2

C. 1.5 m/s2

D. 2 m/s2

9. The question contains statement-I (Assertion) and Statement-2 (Reason). The question has four choices. You have to select the correct choice.

Assertion : A kinetic energy of a body is quadrupled, when its velocity is doubled. Reason : Kinetic energy is proportional to square of velocity

A. if statement-1 is true but statement-2 is falseB. if statement-1 is false and statement-2 is true.C. if both statement-1 and statement-2 are true and statement-2 is the correct explanation of statement-1D. if both statement-1 and statement-2 are true but statement-2 is not the correct explanation of statement-1

10. A particle of mass 4 m which is at rest explodes into three fragments. Two of the fragments, each of mass m, are observed to move with aspeed u each in mutually perpendicular direction. The total energy released in the process of explosion is

A. mu 2

B. 2mu 2

C.

2

2

1um

D.

2

2

3um

11. A stone is dropped from the top of a tall tower. The ratio of the kinetic energy of the stone at the end of three second to the increase in the kinetic energy of the stone during the next three second is

A. 1 : 1B. 1 : 2C. 1 : 3D. 1 : 9

12. A uniform sheet each of thickness 10 units is cut into the shape as shown. Compute then x and y- coordinates of the centre of mass of the piece from point A.

A. 17.5, 22.5B. 22.5, 17.5C. 10.5, 22.5D. 190/7, 125/7

13. There are five bodies with their centre of mass lying on x-axis. Then their combined centre of mass

A. lies only y-axisB. lies on z-axisC. lies on x-axisD. may be anywhere

14. Four identical planks each of lengths ‘L’ are arranged one above the other over a table as shown. Each projects a distance ‘a’ beyond the edge of the one that is below it. What is the maximum possible value of ‘a’ for the system to be in equilibrium without tripping forward?

A. L/5B. L/4C. L/3D. L

15. A generator produces a voltage that is given by V = 240 sin 120t, where t is in seconds. The frequency and r.m.s voltage are

A. 60 Hz and 240 VB. 19 Hz and 120 VC. 19 Hz and 170 VD. 754 Hz and 70V

16. If a magnetic dipole is rotated through an angle è with respect to the direction of B, then work done is

A. mB sinèB. mB cosèC. mB (1 - sinè)D. mB (1 - cosè)

17. A transformer is designed to operate on 220 V AC supply to supply 9 V AC. If the primary coil has 440 turns, number of turns inthe secondary coil is

A. 9B. 18C. 11D. 5

18. The magnetic field due to a current carrying circular loop of radius 3cm at a point on the axis at a distances of 4cm from the centre is 54ìT. What will be its value at the centre of the loop ?

A. 125 ìTB. 150ìTC. 250 ìTD. 75 ìT

19. A radiowave has a maximum magnetic field induction of 10-4 T on arrival at a receiving antenna. The maximum electric field intensity of such a wave is

A. zeroB. 3 ×104 V/mC. 5.8 ×10-9 V/mD. 3.3 ×10-13 V/m

20. If vs, vx and vm are the speeds of gamma rays, X-rays and microwaves respectively in vacuum then

A. vs > vx > vm

B. vs < vx < vm

C. vs > vx < vm

D. vs = vx = vm

21. Specific rotation depends on

A. thickness of the materialB. surrounding mediumC. nature of the materialD. none of these

22. A colourless liquid is poured in a beaker and a glass rod is put in it. Glass rod seems to disappear because

A. Liquid and glass rod have same densityB. Liquid and glass rod have same Refractive indexC. Liquid and glass rod have same colourD. Glass reflects all the light incident on it

23. The limit of resolution of human eye is about

A. 1º of arcB. 2 minute of arcC. 1 second of arcD. none of these

24. If visual acuity of eye is 2 minute of an arc, the distance from an observer, at which the 2 head lights of a jeep separated by a distance 1 m appear single is

A. 1 kmB. 2 kmC. 3 kmD. 4 km

25. The focal lengths of objective and eye lens of an astronomical, telescope are respectively 2 m and 5 cm. Final image is formed at (i) least distance of distinct vision (ii) Infinity Magnifying power in two cases will be

A. -48,-40B. -40,-48C. -40, +48D. -48, +40

26. A thin glass (R.I. 1.5) lens has optical power of -5D in air. Its optical power in a liquid medium with R.I. 1.6 will be

A. 25 DB. -25DC. IDD. -ID

27. If a spherical mirror is immersed in a liquid. It’s focal length will

A. increaseB. decreaseC. remain unchangedD. depend on the nature of liquid

28. In a Fraunhoffer diffraction experiment at a single slit using light of wavelength 400 nm, the first minimum is formed at an angle, of 30º. Then the direction è of the first secondary maximum is given by

A. ÷ø

öçè

æ-

3

4tan 1

B. 60º

C. ÷ø

öçè

æ-

4

3sin 1

D. ÷ø

öçè

æ-

4

3tan 1

29. A ray of light incident at an angle of 45º on air­glass surface suffers a deviation of 15º on emerging. The refractive index of glass is

A. 3

2

B. 2

3

C. 2

1

D. 2

30. Wavelength of a laser beam can be used as a standard of

A. timeB. temperature

C. angleD. length