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JEE Questions for Maths Statics And Dynamics Quiz 1 - MCQExams.com
JEE
Maths
Statics And Dynamics
Quiz 1
A particle is moving in a straight line with uniform velocity. Its acceleration is
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positive
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negative
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zero
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None of these
Resultant velocity of two velocities 30 km/h and 60 km/h making an angle 60° with each other is
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90 km/h
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30 km/h
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30 √7 km/h
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None of these
A particle has two velocities of equal magnitude inclined to each other at an angle θ . If one of them is halved, the angle between the other and the original resultant velocity is bisected by the new resultant. Then , θ is
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120°
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45°
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60°
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90°
A particle having simultaneous velocities 3 m/s, 5 m/s and 7 m/s is at rest. The angle between the first two velocities is
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30°
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45°
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60°
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90°
A particle is thrown vertically upwards with velocity 24.5 cm/min. It will return to the original position after
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1 s
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3 s
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1.5 s
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None of these
A particle is dropped from a height 12 g m and 4 s after another particle is projected from the ground towards it with a velocity 4g ms
-1
. The time after which the second particle meets first is
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4 s
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2 s
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1/ 2 s
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1 s
A ball falls from rest from top of a tower. If the ball reaches the foot of the tower in 3 s, then height of tower is (take g = 10 m/s
2
)
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45 m
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50 m
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40 m
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None of these
A particle is thrown vertically upwards with a velocity of 490 cm/s. It will return to this position after
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1 s
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0.5 s
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2 s
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None of these
The amount of force that is needed to accelerate a truck of mass 36000 kg from rest to a velocity of 60 km/h in 20 s is
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30 kN
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60 kN
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6 kN
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30000 kN
Two bodies of masses
m
and 4
m
are moving with equal momentum. The ratio of their KE is
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1 : 4
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4: 1
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1 : 1
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1 : 2
A ball is dropped from a height
h
above a horizontal plane. If the coefficient of restitution is
e
, through what height will the ball rebound?
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eh
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2eh
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e2h
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2e2h
If in a projectile motion range
R
is maximum, then relation between
H
and
R
is
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0%
2)
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H = 2R
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Three forces
P, Q, R
acting at a point in a plane. The angle between
P
and
Q, Q
and
R
are 150° and 120° respectively, then for equilibrium, forces
P, Q, R
are in the ratio
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1 : 2 : 3
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1 : 2 : √3
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3 : 2 : 1
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√3 : 2 : 1
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P = Q
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2P = Q
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P2 = Q
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P = 2Q
Forces of magnitudes 5 N, 10 N, 15 N and 20 N act on a particle in the direction of North, South, East and West, respectively. The magnitude of their resultant is
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0%
2)
0%
0%
Three forces of magnitudes 30, 60 and
P
acting at a point are in equilibrium. If the angle between the first two is 60°, then the value of
P
is
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0%
2)
0%
0%
If two equal components (
P
) of a force (
F
) are acting at an angle 120°, then
F
is equal to
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P
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2)
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2P
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If 3
P
and 4
P
are resultant of a force 5
P
, then angle between 3
P
and 5
P
is
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0%
0%
2)
0%
90°
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None of these
A particle starting from a point
A
and moving with a positive constant acceleration along a straight line reaches another point
B
in time
T
. Suppose that the initial velocity of the particle is
u
> 0 and
P
is the mid-point of the line
AB
. If the velocity of the particle at point
P
is
v
1
and if the velocity at time
T
/ 2 is
v
2
, then
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v1 = v2
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v1 > v2
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v1 < v2
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If the displacement, velocity and acceleration of a particle at time
t
is
x, v
and
f
respectively, then which one is correct?
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0%
2)
0%
0%
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