8/12/2019 Cat-d Physics Paper b

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FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016. Ph: 46106000/10/13/15 Fax : 26513942.

FACULTY RECRUITMENT TESTCATEGORY-D

Formal School Education/IX, X / NSEJS/NTSE/ Foundationfor KVPY, Senior Olympiads, JEE Main & JEE Advanced

PHYSICS

PAPER BTime: 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 perm it ted.

PART

I

1. A 2kg ball drops on floor from a height of 20 m and rebounds with 20% of the initial speed. Find theimpulse received by the ball.

2. A uniform chain of length L and mass M is lying on a smooth table and one-third of its length ishanging vertically down over the edge of the table. If g is acceleration due to gravity, calculate thework required to pull the hanging part on to the table.

3. Find the value of current i in the circuit shown in the figure. 15 A

i A5 A

8 A

3 A

4. A ray of light falling at an angle of 50ois refracted through a prism in minimum deviation position. The

angle of the prism is 60o. Calculate the refractive index of the prism. Given that sin 50

o= 0.766.

5. A block of mass 3 kg is resting on a horizontal plane

(coefficient of static friction = 1 2 3 ). A force F is applied to

the block as shown in the figure. Find the minimum magnitude

of F for which the block begins to slide. (g =2

10 m/s )

m=3kg

F

60

6. A current of 2 A enters at the corner d of a square frame abcd of side 20cm and leaves at the opposite corner b. A magnetic field B = 0.1 T exists

in the space in a direction perpendicular to the plane of the frame asshown in the figure Find the magnitude and direction of the magneticforces on the four sides of the frame. a b

cd

8/12/2019 Cat-d Physics Paper b

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FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016. Ph: 46106000/10/13/15 Fax : 26513942.

P2-FACREC-PH-2

7. Gravitational force between point masses m and M separated by a distance F. Now if a point mass2m is placed next to m, what will be the (a) force on M due to m. (b) total force on M

8. In the figure shows the graph of the x-coordinate of aparticle going along the X-axis as a function of time. Find(a) the average velocity during 0 to 10 s. (b) instantaneous

velocity at 2 sec

2.5

50

0

100

5.0 7.5 10.0 12.5

X (m)

Time (second)

15.0

9. A block of mass m is kept on a frictionless inclined wedge of mass

M with angle of inclination . The wedge is given an acceleration ato keep the block stationary. Find the acceleration a.

a

10. A ball is dropped on a floor from a height of 2.0 m. After the collision it rises upto a height of 1.5m.Assuming that 40% of mechanical energy lost goes as thermal energy into the ball. Calculate the risein temperature of the ball in the collision. Specific heat capacity of the ball is 800 J/K.(Take g = 10m/s2)

PART II

11. A ball is thrown vertically upward with a velocity 20 m/s. Find the distance covered by the ball is 3 sec.

12. A point source of light B is placed at a distance L in front of thecentre of a mirror of width d hung vertically on a wall. A manwalks in front of the mirror along a line parallel to the mirror at adistance 2L from it as shown. Find the greatest distance overwhich he can see the image of the light source in the mirror.

L

2L

Bd

13. A liquid of density is filled in a beaker of cross section A to a

height H and then a cylinder of mass M and cross-section a ismade to float in it as shown in figure. If the atmospheric pressureis P0, find the pressure (a) at the top face B of the cylinder (b) atthe bottom face C of the cylinder and (c) at the base D of thebeaker (d) can ever these pressures be equal?

B

C

D

H

B

14. A small charged particle of mass m and charge q is suspended by an

insulated thread in front of a very large sheet of charge density . Find theangle made by the thread with the vertical in equilibrium. + + +

+ + +

+ + +

+ + +

q

m

15. An artificial satellite of mass 100 kg is in circular orbit at 500 km above the earths surface. Take the

radius of the earth as 6.5 106m.

(a) Find the acceleration due to gravity at any point along the satellite path.(b) What is the centripetal acceleration of the satellite?

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