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 thin rod of length L about an axis perpendicular to it and passing through its center is given by:
A.
(1/12) ML²
B.
(1/3) ML²
C.
(1/2) ML²
D.
ML²
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ANSWER :
A. (1/12) ML²
2.
The radius of gyration (K) of a body is related to the moment of inertia (I) and mass (M) by which relation?
A.
K² = I/M
B.
I = KM²
C.
K = √(I/M)
D.
I² = KM
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ANSWER :
C. K = √(I/M)
3.
Which of the following has the highest moment of inertia about its central axis?
A.
Solid sphere
B.
Hollow sphere
C.
Solid disc
D.
Thin rod
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ANSWER :
B. Hollow sphere
4.
A thin circular ring of mass M and radius R has its moment of inertia about its diameter equal to:
A.
(1/2) MR²
B.
(1/4) MR²
C.
(3/4) MR²
D.
MR²
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ANSWER :
A. (1/2) MR²
5.
The perpendicular axis theorem is valid for:
A.
Planar bodies
B.
Any 3D body
C.
Only circular bodies
D.
Only symmetric bodies
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ANSWER :
A. Planar bodies
6.
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