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FACULTY RECRUITMENT TESTFormal School Education/IX, X / NSEJS/NTSE/

Foundation for KVPY, Senior Olympiads & IIT-JEE

CATEGORY-D (PHYSICS)

PAPER ATime: 1 Hour Maximum Marks: 40

Name:.................................................................................

Subject:...........................................

Marks:

Inst ruct ions

* Attempt all questions.

* Paper A has Two PartsI and II.Each question of Part I carries 2 marks and eachquestion of part II caries 4 marks.

* Calculators and log tables areno t permit ted.

PART I

1. The velocitytime graph of a particle is as shownin the figure. Find the distance travelled by theobject in 7

thsecond.

1 sec t

v

7 m/s

4 m/s

3m/s

4 secO 7 sec

2. A string of negligible mass passing over a clamped pulley of mass m supports ablock of mass M as shown in the figure. Find the force on the pulley by the clamp.

M

m

3. In the figure, the block of mass M is at rest on the floor. Find theacceleration with which a monkey of mass m should climb up along therope of negligible mass so as to lift the block from the floor.

Mm

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4. A block A is able to slide on the frictionless incline of angle and length l, kept insidean elevator going up with uniform velocity v. Find the time taken by the block to slidedown the length of the incline if released from rest. v

A

5. The spring balance A reads 2kg with a block m suspended from it. A balance Breads 5 kg when a beaker with liquid is put on the pan of the balance. The twobalances are now so arranged that the hanging mass is inside the liquid in thebeaker as shown in the figure. In this situation find the reading of balance A andB with proper explanation.

A

Bm

6. Calculate the current shown by the ammeter A in the givencircuit.

10

A 10

10

10

10

10

A

B

12 V

7. In the given figure, conductor is carrying a current i, find the magnetic fieldintensity at the point O.

i

r

r

r

1

2

3y

x

z

O

8. A layer of oil 3 cm thick is floating on a layer of coloured water 5 cm thick. Refractive index of colouredwater is 5/3 and the apparent depth of the two liquids appears to be 36/7 cm. Find the refractive indexof oil.

9. A ray enters a glass sphere of R.I. n = 3 at an angle of incidence 60 and is reflected and refracted

at the farther surface of the sphere. Find the angle between the reflected and refracted rays at thissurface.

10. A bullet of mass m leaves a gun of mass M kept on a smooth horizontal surface. If the speed of thebullet relative to the gun is v, Find the recoil speed of the gun.

PART II

11. A cubical block of wood of edge 3 cm floats in water. The lower surface of the cube just touches thefree end of a vertical spring fixed at the bottom of the pot. Find the maximum weight that can be puton the block without wetting it. Density of wood = 800 kg/m

3 and spring constant of the spring

= 50 N/m. Take g = 10 m/s2. Neglect the volume of the spring.

12. Find the current measured by theammeter in the circuit shown in thefigure.

101010

101010

6 VA

5050

13. A thin rod of length f/3 is placed along the optical axis of a concave mirror of focal length f such that itsimage which is real and elongated just touches the rod. Calculate the magnification.

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14. A charged cork ball of mass m is suspended on a light string inthe presence of a uniform electric field as shown in the adjacent

figure. When x y E = (E i +E j) N/C, the ball is in equilibrium at the

angle . Find (a) the charge on the ball, and (b) the tension in

the string.

x

y E

q

15. A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at thecentre. At a certain instant of time, the stone is at its lowest position, and has a speed u. Find themagnitude of the change in the velocity as it reaches a position where the string is horizontal.