Motion in a Plane Test

Result

Motion in a Plane Test - 16

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Weekly Quiz Competition

Question 1
4 / -1

A particular P is moving in a circle of radius ‘r’ with a uniform speed v. C is the centre of the circle and AB is the diameter. The angular velocity of P about A and C is in ratio

A
1 : 1

B
1 : 2

C
2 : 1

D
4 : 1

Solution
Question 2
4 / -1

A body slides down a frictionless track which ends in a circular loop of diameter D. Then the minimum height h of the body in terms of D so that it may just complete the loop, is

A

B

C

D

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

A wheel is subjected to uniform angular acceleration about its axis. Initially, its angular velocity is zero. In the first two seconds, it rotates through angle θ₁, and in the next two seconds, it rotates through angle θ₂. Then θ₂/θ₁is

A
1

B
4

C
3

D
2

Solution
Question 5
4 / -1

An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade is

A
1600 ms^–2

B
47.4 ms^–2

C
23.7 ms^–2

D
50.55 ms^–2

Solution
Question 6
4 / -1

A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track is

A
zero

B
30º

C
45º

D
60º

Solution
Question 7
4 / -1

A wheel making 20 revolution per second is stopped in 20 seconds. Its angular retardation is

A

B

C

D

Solution
Question 8
4 / -1

A boat is sent across a river with a velocity of 8 km h^-1. If the resultant velocity of boat is 10 km h^-1, then velocity of river is

A
12.8 km h^-1

B
6 km h^-1

C
8 km h^-1

D
10 km h^-1

Solution
Question 9
4 / -1

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a_c is varying with time t a_c = k²rt², where k is a constant. The power delivered to the particle by the forces acting on it is

A

B

C

D
zero

Solution
Question 10
4 / -1

A particle reaches its highest point when it has covered exactly one half of its horizontal range. The corresponding point on the displacement - time graph is characterised by

A
negative slope and zero curvature

B
zero slope and negative curvature

C
zero slope and positive curvature

D
positive slope and zero curvature