Circular Motion MCQ Level - 1 | 10 Questions MCQ Test

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

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 :

A.
B.
C.
mg
D.

Solution:

(centripetal force at lowest point)

The correct answer is:

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 :

Solution:

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

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?

A.
5ms^–1
B.
20ms^–1
C.
10ms^–1
D.
4ms^–1

Solution:

The correct answer is: 5ms^–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 a :

A.
The magnitude of frictional force on the car is greater than
B.
The friction coefficient between the ground and the car is less than a/g
C.
The acceleration of the car is towards the centre of the path
D.
The friction coefficient between the ground and the car is

Solution:

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

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 :

Solution:

The correct answer is:

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.

Solution:

The correct answer is:

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:

A.
R
B.
R/4
C.
R/2
D.
None of these

Solution:

By energy conservation between A and B

Now, radius of curvature

The correct answer is: R/2

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?

A.
B.
2g/3
C.
g
D.
g/3

Solution:

At loose contact N = 0

from energy conservation

from (1) & (2)

tangential acceleration

The correct answer is:

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 :

A.
v²
B.
1/v
C.
v
D.
v³

Solution:

As we know :

(centripetal acceleration)

From figure :

The correct answer is: v³

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 :