Moment of Inertia (the radius of gyration, values of moments of inertia forsimple geometrical objects, parallel and perpendicular axes theorems, and their applications) NEET Questions

Physics - Rotational Motion

Moment of Inertia (the radius of gyration, values of moments of inertia forsimple geometrical objects, parallel and perpendicular axes theorems, and their applications) MCQ Questions


1.
The moment of inertia of a rigid body about an axis is defined as:
A.
I = Σ mᵢ/rᵢ²
B.
I = Σ mᵢrᵢ²
C.
I = (Σ mᵢ) × R²
D.
I = Σ mᵢrᵢ
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ANSWER :
B. I = Σ mᵢrᵢ²
2.
The SI unit and dimensions of moment of inertia are:
A.
kg·m·s⁻¹ ; [MLT⁻¹]
B.
kg·m² ; [ML²]
C.
kg·m²·s⁻² ; [ML²T⁻²]
D.
N·m ; [ML²T⁻²]
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ANSWER :
B. kg·m² ; [ML²]
3.
A disc and a sphere of the same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects will reach the bottom first?

NEET - 2016

A.
Disc
B.
Sphere
C.
Both reach simultaneously
D.
Depends on their masses
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ANSWER :
B. Sphere
4.
The moment of inertia of a body depends on:
A.
Only total mass
B.
Only shape and size
C.
Mass, its distribution about the axis, and position/orientation of the axis
D.
Only the angular velocity of rotation
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ANSWER :
C. Mass, its distribution about the axis, and position/orientation of the axis
5.
Which of the following statements about moment of inertia is INCORRECT?
A.
It is a measure of rotational inertia
B.
It depends on the axis of rotation
C.
It is always fixed for a given rigid body
D.
It plays the role of mass in rotational motion
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ANSWER :
C. It is always fixed for a given rigid body
6.
The moment of inertia of a point mass m at distance r from axis of rotation is:
A.
mr
B.
mr²/2
C.
mr²
D.
2mr²
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ANSWER :
C. mr²