8/13/2019 phypapB
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FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -
110016. Ph: 46106000/10/13/15 Fax : 26513942.
FACULTY RECRUITMENT TESTFormal School Education/IX, X /
NSEJS/NTSE/ Foundation
for KVPY, Senior Olympiads & IIT-JEE
CATEGORY-D (PHYSICS)
PAPER BTime: 1 Hour Maximum Marks: 40
Name:.................................................................................Subject:...........................................
Marks:
Ins t ruc t ions
* Attempt all questions.
* Paper A has Two Parts I and II . Each question of Part I
carries 2 marks and eachquestion of part II caries 4 marks.
* Calculators and log tables are no t permi t 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 50 o is refracted
through a prism in minimum deviation position. Theangle of the
prism is 60 o. 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
tothe block as shown in the figure. Find the minimum magnitudeof F
for which the block begins to slide. (g =
210 m/s )
m= 3kg
F
60
8/13/2019 phypapB
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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
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 existsin 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
c d
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) instantaneousvelocity 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
massM 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/s
2)
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
man
walks 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 aheight 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 P 0, 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 aninsulated thread in front of a very large sheet of charge
density . Find theangle made by the thread with the vertical in
equilibrium. + + +
+ + +
+ + +
+ + +
qm
15. An artificial satellite of mass 100 kg is in circular orbit
at 500 km above the earths surface. Take theradius of the earth as
6.5 10 6 m.(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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