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Circular Motion MCQ Level - 1 - Physics MCQ


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10 Questions MCQ Test - Circular Motion MCQ Level - 1

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Circular Motion MCQ Level - 1 - Question 1

A stone tied to a string is rotated in a vertical plane. If mass of the stone is m, the length of the string is R and the linear speed of the stone is v  when the stone is at its lowest point, then the tension in the string at the lowest point will be :

Detailed Solution for Circular Motion MCQ Level - 1 - Question 1

 (centripetal force at lowest point)

The correct answer is:  

Circular Motion MCQ Level - 1 - Question 2

A ring of radius R lies in vertical plane. A bead of mass m can move along the ring without friction. Initially the bead is at rest at the bottom most point on ring. The minimum constant horizontal speed v with which the ring must be pulled such that the bead completes the vertical circle :

Detailed Solution for Circular Motion MCQ Level - 1 - Question 2

In the frame of ring (inertial w.r.t. earth), the initial velocity of the bead is v at the lowest position.

The condition for bead to complete the vertical circle is, its speed at top position

From conservation of energy  

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Circular Motion MCQ Level - 1 - Question 3

When the road is dry and coefficient of friction is μ the maximum speed of a car in a circular path is 10ms–1. If the road becomes wet and coefficient of friction become μ/4, what is the maximum speed permitted?

Detailed Solution for Circular Motion MCQ Level - 1 - Question 3

The correct answer is: 5ms–1

Circular Motion MCQ Level - 1 - Question 4

A car of mass M is traveling on a horizontal circular path of radius r. At an instant its speed is v and tangential acceleration is :

Detailed Solution for Circular Motion MCQ Level - 1 - Question 4

friction force on car 

which is greater than 

∴   it is not less than a/g for safe turn.

The correct answer is: The magnitude of frictional force on the car is greater than 

Circular Motion MCQ Level - 1 - Question 5

A body is tied up by a string of length l  and rotated in vertical circle at minimum speed. When it reaches at highest point string breaks and body moves on a parabolic path in presence of gravity according to figure. In the plane of point A, value of horizontal range AC will be :

Detailed Solution for Circular Motion MCQ Level - 1 - Question 5


The correct answer is: 

Circular Motion MCQ Level - 1 - Question 6

The maximum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius l.

Detailed Solution for Circular Motion MCQ Level - 1 - Question 6


The correct answer is: 

Circular Motion MCQ Level - 1 - Question 7

A section of fixed smooth circular track of radius R in vertical plane is shown in the figure. A block is released from position A and leaves the track at B. The radius of curvature of its trajectory when it just leaves the track at B is:

Detailed Solution for Circular Motion MCQ Level - 1 - Question 7

By energy conservation between A and B

Now, radius of curvature 

The correct answer is: R/2

Circular Motion MCQ Level - 1 - Question 8

A particle of mass m begins to slide down on a fixed smooth sphere from the top. What is its tangential acceleration when it breaks off the sphere?

Detailed Solution for Circular Motion MCQ Level - 1 - Question 8

At loose contact N = 0

from energy conservation

from (1) & (2)  

tangential acceleration 

The correct answer is:  

Circular Motion MCQ Level - 1 - Question 9

A particle is projected horizontally from the top of a tower with a velocity v0. If v  be its velocity at any instant, then from radius of curvature of the path of the particle at that instant is directly proportional to :

Detailed Solution for Circular Motion MCQ Level - 1 - Question 9

As we know :

 (centripetal acceleration)

From figure : 

 

The correct answer is: v3

Circular Motion MCQ Level - 1 - Question 10

The breaking tension of a string is 10N. A particle of mass 0.1kg tied to it is rotated along a horizontal circle of radius 0.5metre. The maximum speed with which the particle can be rotated without breaking the string is :

Detailed Solution for Circular Motion MCQ Level - 1 - Question 10

 

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