VR CLASSES FOR JEE/MEDICAL
PHYSICS
1.
2.
3.
D.P.P. - 4
TOTAL QUN-30
At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
(a) Perpendicular to each other
(b) Parallel to each other
(c) Inclined to each other at an angle of 45o
(d) Antiparallel to each other
A man projects a coin upwards from the gate of a uniformly moving train. The path of coin for the man will
be
(a) Parabolic
(b) Inclined straight line
(c) Vertical straight line
(d) Horizontal straight line
A stone is projected with an initial velocity at an angle to the horizontal. A small piece separates from the
stone before the stone reaches its maximum height. Then this piece will
(a) Fall to the ground vertically
(b) Fly side by side with the parent stone along a parabolic path
(c) Fly horizontally initially and will trace a different parabolic path
(d) Lag behind the parent stone increasing the distance from it
4.
A particle moves in the X-Y plane according to the law x = kt and y =kt (1 – t), where k and  are positive
constants and t is time. What is the equation of trajectory of the particle
(a) y  kx
(c)
5.
y
x 2
k
The equation of motion of a projectile is y  12 x 
(b) y  x 
x 2
k
(d) y  x
3 2
x . Given that g =10 ms–2, what is the range of the
4
projectile
(a) 12.4 m
(b) 16 m
(c) 30.6 m
6.
(d) 36.0 m

A particle is moving in a plane with velocity given by u  u0ˆi  (a cos t)ˆj where ˆi , ˆj are unit vectors along
x and y axes respectively. The trajectory of the particle if the particle starts from origin at t = 0 will be
 x 

(a) y  a sin 

 u0 
(c)
7.
8.
y  tan x
 x 

(b) y  a cos 

 u0 
(d) y  cos tx
An object is projected with a velocity of 20 m/s making an angle of 45o with horizontal. The equation for
the trajectory is h = Ax – Bx2 where h is height, x is horizontal distance, A and B are constants. The ratio A
: B is (g = 10 m/s2)
(a) 1 : 5
(b) 5 : 1
(c) 1 : 40
(d) 40 : 1
9.
A ball is dropped from the top of a tower in a high speed wind. The wind exerts a steady force on the ball.
The path followed by the ball will be
(a) Parabola
(b) Circular arc
(c) Elliptical arc
(d) Straight line
In a projectile motion, the velocity
(a) Is always perpendicular to the acceleration
(b) Is never perpendicular to the acceleration
(c) Is perpendicular to the acceleration for one instant only
(d) Is perpendicular to the acceleration for two instants
10.
A body of mass m is thrown upwards at an angle  with the horizontal with velocity v. While rising up the
velocity of the mass after t seconds will be
11.
(a)
(v cos  )2  (v sin  )2
(c)
v 2  g 2 t 2  (2 v sin  ) gt
(b)
(d) v 2  g 2 t 2  (2 v cos  ) gt
A boy throws a ball with a velocity V0 at an angle  to the horizontal. At the same instant he starts running
with uniform velocity to catch the ball before it hits the ground. To achieve this, he should run with a
velocity of
(a) V0 cos
(b) V0 sin 
(c) V0 tan 
12.
13.
15.
16.
(d)
V02 tan 
From the top of a tower 19.6 m high, a ball is thrown horizontally. If the line joining the point of projection
to the point where it hits the ground makes an angle of 45o with the horizontal, then the initial velocity of
the ball is
(a) 9.8 ms–1
(b) 4.9 ms–1
(c) 14.7 ms–1
(d) 2.8 ms–1
When a particle is thrown horizontally, the resultant velocity of the projectile at any time t is given by
1 2
gt
(a) gt
(b)
2
(c)
14.
(v cos   v sin  )2  gt
u2  g2t2
(d)
u2  g2t2
A body is thrown horizontally from the top of a tower of height 5 m. It touches the ground at a distance of
10 m from the foot of the tower. The initial velocity of the body is (g = 10 ms–2)
(a) 2.5 ms–1
(b) 5 ms–1
(c) 10 ms–1
(d) 20 ms–1
An aeroplane is moving with a horizontal velocity u at a height h above the ground. If a packet is dropped
from it the speed of the packet when it reaches the ground will be
(a) (u 2  2 gh)1 / 2
(b) (2 gh)1 / 2
(c) (u 2  2 gh)1 / 2
(d) 2 gh
A particle is projected with a speed V from a point O making an angle of 30o with the vertical. At the same
instant, a second particle is thrown vertically upwards from a point A. The two particle reach H, the
V
highest point on the parabolic path of particle simultaneously. Then ratio
is
v
V
(a) 3 2
H
(b) 2 3
(c)
2
30o
3
(d)
17.
3
2
A
(d) 700 m/sec
A particle is thrown upward with a speed u at an angle  with the horizontal. When the particle makes an
angle  with the horizontal, its speed changes to v, then
(a) v  u cos cos
(b) v  u cos sec 
(c) v  u cos 
19.
O
Two paper screens (A) and (B) are separated by a distance of 100 m. A bullet pierces (A) and (B) the hole in
(B) is 10 cm below the hole is (A). If the bullet is travelling horizontally at the time of hitting (A). Then
velocity of the bullet at (A) is
(a) 100 m/sec
(b) 200 m/sec
(c) 600 m/sec
18.
v
60o
(d) v  u sec  cos
Mr. Naveen kicked off a football with an initial speed 19.6 m/s at a projection angle 45o. A receiver on the
goal line 67.4 m away in the direction of the kick starts running to meet the ball at that instant. What must
be his speed so that he could catch the ball before hitting the ground
(a) 2.82 m/s
(b) 2 / 2 m / s
(c) 39.2 m/s
(d) 10 m/s
20.
Two balls of same mass are thrown horizontally from the top of a tower in the opposite direction with
velocities 3 m/s and 4 m/s. The distance between the balls, when their velocities are mutually
perpendicular will be nearest to
(a) 10 m
(b) 7 m
(c) 5 m
(d) 2.5 m
21.
A motorcyclist starts from the bottom of a slope of angle 45 o to cross the valley PR as shown in the figure.
The width of the valley is 90 m and length of the slope is 80
required to clear the valley will be
(a) 70 m/s
2 m . The minimum velocity at point O
Q
R
P
(b) 30 m/s
(c) 50 m/s
O
45o
(d) 100 m/s
22.
From the top of a tower of height h a body of a mass m is projected in the horizontal direction with a
velocity v. It falls on the ground at a distance x from the tower. If a body of mass 2 m is projected from the
top of another tower of height 2 h in the horizontal direction so that it falls on the ground at a distance 2x
from the tower, the horizontal velocity of the second body is
(a) 2 v
(b)
2v
(c)
v
2
(d)
v
2
30o
23.
A cricket ball is thrown with a velocity of 15 m/s at an angle of
with the horizontal. The time of flight of
the ball will be (g = 10 m/s2)
(a) 1.5 s
(b) 2.5 s
(c) 3.5 s
(d) 4.5 s
24.
If t1 be the time taken by a body to clear the top of a building and t2 be the time spent in air, then t2 : t1 will
be
(a) 1 : 2
(b) 2 : 1
(c) 1 : 1
(d) 1 : 4
25.
A stone is thrown at an angle  to the horizontal reaches a maximum height h. The time of flight of the
stone is
(a)
26.
(2h sin  ) /g
28.
(c)
2 (2h) /g
(d)
(2h) /g
A bomb is fired from a cannon with a velocity of 1000 m/s making an angle of 30o with the horizontal.
What is the time taken by the bomb to reach the highest point
(a) 11 sec
27.
(b) 2 (2h sin  ) /g
(b) 23 sec
(c) 38 sec
(d) 51 sec
Two bullets are fired with horizontal velocities of 50 m/s and 100 m/s from two guns at a height of 19.6 m.
Which bullet will strike first
(a) First
(b) Second
(c) Simultaneously
(d) None of these
A hiker stands on the edge of a cliff 490 m above the ground and throws a stone horizontally with a speed
of 15 ms–1. The time taken by the stone to reach the ground is
(a) 10 s
(b) 5 s
(c) 12 s
(d) 15 s
29.
Galileo’s experiment showed that if two bodies of unequal masses are dropped from the same height, the
time required by them to reach the ground are equal. But if they are thrown vertically upwards with the
same initial velocity, the ratio of the time required to reach the ground is equal to
(a) The ratio of their masses
(b) The inverse of the ratio of their masses
(c) One
(d) The product of their masses
30.
A particle is projected with a speed 2 gh so that it clears two walls of equal height h which are at a
distance 2h from each other. The time taken by the particle to pass between the two walls is
(a)
2h
g
(b)
2h
g
(c)
2
h
g
(d) 2
h
g