Motion in a Plane Test

Result

Motion in a Plane Test - 2

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Weekly Quiz Competition

Question 1
4 / -1

Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first?

A
The faster bullet

B
The slower bullet

C
Both will hit simultaneously

D
Depends on the masses

Solution
Question 2
4 / -1

At the top of the trajectory of a projectile, the direction 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 45°

D
anti-parallel to each other
Question 3
4 / -1

For a projection, (range)² is 48 times of (maximum height )² obtained. Find angle of projection.

A
60°

B
30°

C
45°

D
75°

Solution
Question 4
4 / -1

A
36

B
24

C
18

D
9

Solution
Question 5
4 / -1

A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed ω rad/s about the vertical support. About the point of suspension,

A
angular momentum is conserved

B
angular momentum changes in magnitude but not in direction

C
angular momentum changes in direction but not in magnitude

D
angular momentum changes both in direction and magnitude

Solution
Question 6
4 / -1

A particle is moving uniformly in a circular path of radius r. When it moves through an angular displacement θ, then the magnitude of the corresponding linear displacement will be

A

B

C

D

Solution
Question 7
4 / -1

A wheel which is initially at rest is subjected to a constant angular acceleration about its axis. It rotates through an angle of 15° in time t sec. The increase in angle through which it rotates in the next 2t sec is

A
90°

B
120°

C
30°

D
45°

Solution
Question 8
4 / -1

The front wheel on an ancient bicycle has radius 0.5 m. It moves with an angular velocity given by the function ω(t) = 2 + 4t² , where t is in sec. About how far does the bicycle move between t = 2 s and t = 3 s?

A
36 m

B
27 m

C
21 m

D
14 m

Solution
Question 9
4 / -1

A hoop of radius r and mass m rotating with an angular velocity ω₀ is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?

A

B

C

D

Solution
Question 10
4 / -1

Two cars of masses m₁ and m₂ are moving in circles of radii r₁ and r₂ respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal accelerations is

A
m₁r₁ : m₂ r₂

B
m₁: m₂

C
r₁: r₂

D
1:1

Solution