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Circular Motion NAT Level - 1

10 Questions MCQ Test Basic Physics for IIT JAM | Circular Motion NAT Level - 1

Description

This mock test of Circular Motion NAT Level - 1 for Physics helps you for every Physics entrance exam. This contains 10 Multiple Choice Questions for Physics Circular Motion NAT Level - 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this Circular Motion NAT Level - 1 quiz give you a good mix of easy questions and tough questions. Physics students definitely take this Circular Motion NAT Level - 1 exercise for a better result in the exam. You can find other Circular Motion NAT Level - 1 extra questions, long questions & short questions for Physics on EduRev as well by searching above.

*Answer can only contain numeric values

QUESTION: 1

A particle moves along a circle of radius (20/π)m with tangential acceleration of constant magnitude. If the speed of the particle is 80 m/s at the end of the second revolution after motion has begun. What will be the tangential acceleration in ms^–2?

Solution:

n = 2 revolution
v = 80 m/s

from 3rd equation of motion

= 40 m/s²
The correct answer is: 40

*Answer can only contain numeric values

QUESTION: 2

In the motorcycle stunt called ‘the well of death’ the track is a vertical cylindrical surface of 18 m radius. Take the motorcycle to be a point mass and µ = 0.8. The minimum angular speed (rad/sec) of the motorcycle to prevent him from sliding down should be :

Solution:

From (1) and (2)

*Answer can only contain numeric values

QUESTION: 3

In the figure shown a lift goes downwards with a constant retardation. An observer in the lift observes a conical pendulum in the lift, revolving in a horizontal circle with time period 2 seconds. The distance between the centre of the circle and the point of suspension is 2.0 m. The retardation of the lift in m/s² is :

Solution:

g_eff = g + a
Put T = 2
⇒ a = 10 m/s²
The correct answer is: 10

*Answer can only contain numeric values

QUESTION: 4

A circular curve of a highway is designed for traffic moving at 72 km/h. If the radius of the curved path is 100 m, the correct angle (in degree) of banking of the road should be given by :

Solution:

The correct answer is: 21.801

*Answer can only contain numeric values

QUESTION: 5

For a body in circular motion with a constant angular velocity, the magnitude of the average acceleration over a period of a half a revolution is how many times the magnitude of its instantaneous acceleration?

Solution:

Instantaneous acceleration = ω²R

The correct answer is: 0.637

*Answer can only contain numeric values

QUESTION: 6

A spot light S rotates in a horizontal plane with a constant angular velocity of 0.1 rad/s. The spot of light P moves along the wall at a distance 3m. What is the velocity in ms^–1 of the spot P when θ = 45°?

Solution:

The correct answer is: 0.6

*Answer can only contain numeric values

QUESTION: 7

A point P moves in counter clockwise direction on a circular path as shown in the figure. The movement of 'P' is such that it sweeps out a length s = t³ + 5, where s is in metres and t is in seconds. The radius of the path is 20 m. The acceleration in ms^–2 of 'P' when t = 2s is nearly.

Solution:

S = t³ + 5
Linear speed of the particle

Linear acceleration
at t = 2s, a₁ = 12 m/s²

The centripetal acceleration

The correct answer is: 14

*Answer can only contain numeric values

QUESTION: 8

A stone is projected from level ground at t = 0 sec such that its horizontal and vertical components of initial velocity are 10 m/s and 20 m/s respectively. Then the instant of time (in seconds) at which tangential and normal components are acceleration of stone are same is : (neglected air resistance) g = 10m/s²

Solution:

Tangential acceleration

Normal acceleration

During upward motion

⇒ v_y = v_z
u_y – g_t = u_x
20 – 10t = 10
⇒ t = 1 sec
During downward motion
a_t = a_n
v_y – v_x
20 – 10t = – 10
⇒ t = 3 sec

The correct answer is: 3

*Answer can only contain numeric values

QUESTION: 9

A ball suspended by a thread swings in a vertical plane so that its acceleration magnitudes in the extreme and lowest positions are equal. The thread deflection angle (in degree) in the extreme position is?

Solution:

Acceleration at lowest position

From energy conservation

acceleration at highest position

according to problem a_L = a_H

The correct answer is: 53

*Answer can only contain numeric values

QUESTION: 10

A bird is flying in air. To take a turn in the horizontal plane of radius R = 10m with the velocity v = 10m/s at what angle (in degree) it should bend with the horizontal.