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The Syllabus
Measurements –
Vernier Callipers, Screw Gauge
Significant Figures, Rounding Off
Graphs - Sample questions available at :
http://rajeevtyagimcsdelhi.blogspot.com/2009/07/physics-assignments-forclass-11-d.html
Vectors - Sample questions available at :
http://rajeevtyagimcsdelhi.blogspot.com/2009/07/physics-11d-assignmenton-vectors.html
http://rajeevtyagimcsdelhi.blogspot.com/2009/07/vector-product.html
Motion in 1 – D
Motion in 2 – D (Projectiles)
Relative Velocity - Sample questions available at :
http://rajeevtyagimcsdelhi.blogspot.com/2009/07/relative-velocity.html
Laws of motion
Motion in 1-D and 2-D :
1. Can a body have constant speed but varying velocity? If yes, then give example.
2. For motion in vertical direction, if the displacement in upward direction is +ve,
then for a body moving up but below the point of projection, velocity will be
___(+/-).
3. Give an example in which distance is a) equal to, b) less than the displacement.
4. A body with +ve acceleration must be speeding upwards. True/False?
5. Give an example in which a) velocity is zero but acceleration is not, b)
acceleration is zero but velocity is not.
6. Give an example in which speed is constant but still acceleration is not zero.
7. A man can throw a ball with a maximum speed of 20 m/s. What is the maximum
height to which he can throw the ball?
8. A man runs half the distance with speed V1 and second half with a speed V2. Find
his average speed.
9. A man runs 100 m in 10 seconds, then turns around and walks the same distance
with a speed of 2 m/s. Find his average speed.
10. A man standing at the edge of a cliff throws a stone vertically up with speed u,
and another stone vertically down with the same speed. What is the ratio of
speeds of the two stone just before touching the ground?
11. Two balls are thrown simultaneously, A is thrown vertically up with a speed of 50
m/s from the ground, and B is thrown down from a height of 100 m with a speed
of 50 m/s along the same line as A. At what height do they collide?
12. A ball is dropped from a bridge 122.5 m above a river. After the ball has been
falling for 2 sec, a second ball is thrown straight down after it. What must be the
initial velocity of the second ball so that both hit the water at the same time.
13. A stone is dropped from a balloon moving vertically upwards with an acceleration
of 5 m/s2 after it has risen for 4 sec. Calculate a) the max. height of the stone, b)
speed of stone just before hitting the ground, c) time for which the stone is in air
after being dropped.
14. A stone is dropped from a balloon moving vertically upwards with a velocity of
15 m/s and is observed to strike the ground in 4 sec. Calculate a) the height of the
balloon when the stone was dropped, b) speed of stone just before hitting the
ground.
15. A body travels a distance of 1.8 m in the first 3 seconds and 2.2 m in the next 5
seconds. What will be the velocity at the end of 9 seconds?
16. A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm.
How much further will it penetrate before coming to rest?
17. A stone dropped from the top of a tower covers 1/3 of its height in the last one
second. Find the height of the tower.
18. A ball is thrown up with a velocity of 20 m/s. a) What is the maximum height
reached by it, b) At what time is it at a height of 10 m, c) what is its velocity when
it is 10 m below the point of projection, d) how long does it takes to hit the
ground if it 20 m below the point of projection.
19. The downward acceleration of a particle released from a missile accelerating
upward at 9.8 m/s2 is ___________
20. A particle is projected with a velocity u so that its range is thrice its maximum
height. What is its range?
21. A body is thrown horizontally from the top of a tower and strikes the ground in 3
seconds at an angle of 45o with the horizontal. Find the height of the tower and
the speed with which it was projected?
22. A ball is thrown with a speed of 20 m/s at an angle of 53 o from the horizontal
from the top of a building 10 m high. a) Where is the body after 2 seconds? b) In
what direction is the body moving at that instant? c) What is the speed of the body
at the instant it has travelled 12 m in the horizontal direction? d) With what speed
does the body strikes the ground?, e) At what angle does it strikes the ground?
23. One ball is thrown horizontally and the other is dropped. Which of the two will a)
hit the ground first, b) has more speed while hitting the ground?
24. A ball is thrown horizontally with a speed of 10 m/s from the top of a tower 20 m
high. a) In which direction is it moving after 1 sec? b) Where is its speed equal to
10√2 m/s? c) With what speed does it strikes the ground?
25. A ball of mass 0.2 Kg is thrown with a speed of 25 m/s at an angle of 37 o to the
horizontal. At the highest point, a sudden blow of wind exerts an upward force of
2 N for 0.5 s in a direction perpendicular to that of motion. Calculate the
horizontal distance covered by the ball from the point of projection.
Laws of Motion –
1. A body is placed on a flat horizontal surface. The normal reaction is always ‘Mg’.
True / False?
2. A block of mass M is kept on an incline of angle  for which the coefficient of
friction is . What is the force of friction?
3. A body of mass M is placed on a surface for which coefficient of static and
kinetic friction are S and K respectively. What is the maximum force applied on
the body by the surface?
4. The friction coefficient between a block and a plane is 1/3. If the plane is
gradually inclined, at what angle will the block will begin to slide?
5. What are the accelerations of M1 and M2 in the following figure -
M1
M2
6. Three masses of mass m, 2m, and 3m are connected by strings of mass m each.
The mass 3m is pulled by a force of 10 N acting at an angle of 370 to the
horizontal, whereas the mass m is pulled horizontally backwards by a force of 2
N. What is the tension at the midpoint of the rope joining m and 2m.
7. A block of mass 5 Kg moves over a horizontal table 16 m long, half of which is
rough and the other half is smooth. For the rough part, the coefficient of static
friction between the block and the table is 0.4 while the coefficient of kinetic
friction is 0.3. A constant force is applied on the block which is just sufficient to
move it. Find the total time it takes for the block to fall from the table and the
velocity at the time of fall.
8. A body of mass 10 Kg falls from a height of 5m (g = 10 m/s2) and is stopped
within 0.1 s on the ground. What is the force of interaction (assumed constant)?
9. Two masses 5 Kg and 3 Kg are suspended from the ends of an unstretchable light
string passing over a frictionless pulley. When the masses are released, what is the
force on the pulley?
C
10. Two blocks A and B of masses 10 Kg and 5 kg respectively are
connected with a string passing over a frictionless pulley fixed at
A
a corner as shown in the diagram. The coefficient of friction of A
with the table is 0.2. What is the minimum mass of C that may be
placed on A to prevent it from moving?
11. A body is projected along the line of greatest slope of a rough B
inclined plane of inclination 45o. The time of downward journey to the point of
projection is double than that for upward journey. Find coefficient of friction.
12. An insect crawling up in a fixed hemispherical bowl of radius R can crawl only
up to a height of __________ of the radius of the bowl if coefficient of friction is
1/3.
13. The force which will that prevent the block from sliding against the vertical rough
wall is given by
(a) (F cos) / ( mg sin)
m
(b) mg / (sin +  cos)
F
(c) mg / (sin -  cos)
(d) F sin


14. With what minimum acceleration can a fireman slide down a rope whose breaking
strength is (2/3) rd of his weight?
15. Two masses A and B each of mass M are fixed together by a mass less spring. A
force F acts on the mass B as shown in the figure. At the instant shown the mass A has
acceleration a, what is the acceleration of mass B?
A
B
F
16. A 40 kg slab rests on a friction less floor as shown in the figure. A 10 kg block rests
on the slab. The static coefficient of friction between the block and the slab is 060 while
the coefficient of kinetic friction is 040. The 10 kg block is acted upon by a horizontal
force. If g = 98 m sec-2 what will be the resulting acceleration of the slab ?
100 N
10 kg
Slab
40 kg
17. A uniform rope of length L lies on a table. If the coefficient of friction is . Then the
maximum length L1 of the part of the rope which can overhang from the edge of the table
without sliding down is