The Top IITJEE/AIPMT Coaching Institute in Delhi for IITJEE, AIEEE and Medical Entrance Examination.

1. Keshaw Classes IIT/JEE Medical Classes
5-A 11028 / 9, WEA, Sat Nagar, Karol Bagh New Delhi-110005
Mob:9910915514,9953150192 Ph:011-45660510
E-mail : keshawclasses@gmail.com Web:www.keshawclasses.com
1-A car is moving along a straight road with a uniform acceleration. It passes through
two points P and Q separated by a distance with velocity 30 km/h and 40 km/h
respectively. The velocity of the car midway between P and Q is
(a) 33.3 km/h
(c) 25.2 km/h
(b) 20.2 km/h
(d) 0.35 km/h
2-What will be the be ratio of the distance moved by a freely falling body from rest in
4th and 5th Seconds of journey?
(a) 4:5
(c) 16:25
(b) 7:9
(d) 1:1
3-A car covers the first –half of the distance between two places at 40 km/h and
other half at 60 km/h. The average speed of its fall .The car is
(a) 40 km/h
(c) 50km/h
(b) 48 km/h
(d) 60km/h
4-A body dropped from top of a tower fall through 40 m during the last two
seconds of its fall. The height of tower is (g=10m/s2)
(a) 60 m
(c) 80 m
(b) 45 m
(d) 50 m

2. 5-A car moves a distance from of 200 m. it covers the first-half of the distance
at speed 40 km/h and the second-half of distance at speed v. the average speed
Is 48 km/h find the value of v.
(a) 56 km/h
(c) 50 km/h
(b) 60 km/h
(d) 48 km/h
6-A bus traveling the first one-third distance at a speed of 10 km/h, the next one-
third at 20 km/h and the last one-third at 60 km/h. the average speed of the bus is
(a) 9 km/h
(c) 18 km/h
(b) 16 km/h
(d) 48 km/h
7-A river is flowing from west to east at a speed of 5 m/ min. A man on the south
bank of the river, capable of swimming at 10 m/ min in still water, to swim across the
river in the shortest time. He should swim in a direction
(a) due north
(c) 30o west of north
(b) 30o east of north
(d) 60o east of north
8-A projectile is fired at an angle of 300 to the horizontal such that the vertical
component of its initial velocity is 80 m/s. its time of flight is T. its velocity at t=T/4 has a magnitude of nearly:
(a) 200m/s
(b) 140m/s
(b) 300 m/s
(c) 100 m/s
9-A point moves in x-y plane according to the law x =4 sin 6t and y =4(1-cos 6t).
The distance traversed by the particle in 4 s is : (x and y are in metres )
(a) 96m
(c) 24m
(b) 48m
(d) 108m

3. 10-Consider a collection of number of particles each with speed v. the direction of
Velocity is randomly distributed in the collection. The magnitude of relative
Velocity between a pair of particles averaged over all the pairs is :
(a) zero
(c) less than v
(b) greater than v
(d) v
11-A particle is dropped from point A at a certain height from ground. It falls freely
And passes through three points B, c and D with BC = CD. The time taken by the
particle to move from B to c is 2 s and from c to D is 1 s. the time taken to
move A to B is:
(a) 0.5 s
(c) 0.75 s
(b) 1.5 s
(d) 0.25 s
12-There are two values of time for which a projectile is at the same height. The sum
of these two times is equal to :
(a) 3T/2
(C) 3T/4
(b) 4T/3
(d) T
13-ratio of minimum kinetic energies of two projectiles of same mass is 4 : 1. the
ratio of the maximum height attained by them is also 4 : 1.The ratio of their ranges
would be :
(a) 16:1
(c) 8 :1
(b) 4 :1
(d) 2 :1
14-A flywheel rotates with a uniform angular acceleration. its angular velocity
increases from 20 ead/s to 40 rad/s in 10 seconds. How many rotations did it make
in this period?
(a) 80
(c) 120
(b) 100
(d) 150

4. 15-When a ceiling fan is switched on, it marks 10 rotations in the first 3 seconds.
how many rotations will it mark in the next 3 seconds? (Assume uniform angular
acceleration.)
(a) 10
(c) 30
(b) 20
(c) 40
16-When a ceiling fan is switched off, its angular velocity falls to half while it makes
36 rotation . How many more rotation will it make before coming to rest? (Assume
uniform angular retardation.)
(a) 36
(c) 18
(b) 24
(d) 12
17-A balloon starts rising from the ground with an acceleration of 1.25 m/s. After 8
sec, a stone balloon. The stone will
(a) cover a distance of 40 m
(c) reach the ground in 4 s
(b) have a displacement of 50 m
(d) begin to move down after begin released
18-Two particle are projected simultaneously in the same vertical plane, from the
same point, but with different speeds and at different angles to the horizontal. The
path followed by one, as seen by the other, is
(a)a vertical straight line
(a)a straight line making a constant angle (#90o) with the horizontal
(a)a parabola
(a)a hyperbola

5. 19-An aeroplane flying at a constant velocity releases a bomb. As the bomb drops
down from the aeroplane,
(a)it will always be vertically below the aeroplane.
(b)it will always be vertically below the aeroplane only if the aeroplane is flying
horizontally.
(c)it will always be vertically below the areoplane only if the aeroplane is
Flying at an angle of 45o to the horizontal.
(d)it will gradually fall behind the aeroplane if the aeroplane is flying
Horizontally.
20. A particle of a small mass m is joined to a very heavy body by a light string
Passing over a light pulley. Both bodies are free to move. The total downward force
on the pulley is
(a) mg
(b) 2 mg
(c) 4 mg
(d) >>mg