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


7.
The moment of inertia of a solid sphere about its diameter is:
A.
(2/5) MR²
B.
(3/5) MR²
C.
(1/2) MR²
D.
(3/7) MR²
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ANSWER :
A. (2/5) MR²
8.
A uniform disc of radius R is rotating about an axis passing through its center and perpendicular to its plane. The moment of inertia is:
A.
(3/8) MR²
B.
(2/5) MR²
C.
(5/6) MR²
D.
(1/2) MR²
😑 View Answer Rough Work Error
ANSWER :
D. (1/2) MR²
9.
What is the moment of inertia of a thin rod of mass M and length L about an axis passing through one of its ends and perpendicular to its length?
A.
ML²
B.
(1/2) ML²
C.
(3/4) ML²
D.
(1/3) ML²
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ANSWER :
D. (1/3) ML²
10.
The radius of gyration of a solid cylinder about its own axis is:
A.
2R
B.
R/2
C.
R
D.
R/√2
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ANSWER :
D. R/√2
11.
If the moment of inertia of a body is increased, what happens to its angular velocity (assuming constant angular momentum)?
A.
Decreases
B.
Remains same
C.
Increases
D.
Becomes zero
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ANSWER :
A. Decreases
12.
A thin-walled hollow cylinder and a solid cylinder, both of the same mass and radius, roll down an incline without slipping. Which reaches the bottom first?
A.
Solid cylinder
B.
Hollow cylinder
C.
Both reach together
D.
Cannot be determined
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ANSWER :
A. Solid cylinder