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


13.
Parallel axis theorem states that the moment of inertia about any axis parallel to the center of mass is given by:
A.
I_cm + Md²
B.
I_cm - Md²
C.
I_cm * Md
D.
Md²
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ANSWER :
A. I_cm + Md²
14.
A solid sphere and a hollow sphere of the same mass and radius are rotating about their own axes. Which has a greater moment of inertia?
A.
Solid sphere
B.
Hollow sphere
C.
Same for both
D.
Depends on mass distribution
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ANSWER :
B. Hollow sphere
15.
The ratio of moments of inertia of a solid sphere and a hollow sphere of the same mass and radius about their own diameters is:
A.
2:03
B.
3:05
C.
5:07
D.
1:01
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ANSWER :
B. 3:05
16.
A disc and a ring of the same mass and radius are rolling down an incline without slipping. Which reaches the bottom first?
A.
Disc
B.
Ring
C.
Both reach together
D.
Cannot be determined
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ANSWER :
A. Disc
17.
Moment of inertia of a uniform square plate of side L about an axis passing through its center and perpendicular to its plane is:
A.
(1/6) ML²
B.
(1/3) ML²
C.
(1/8) ML²
D.
(1/2) ML²
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ANSWER :
A. (1/6) ML²
18.
If the radius of gyration of a body is doubled, its moment of inertia will:
A.
Quadruple
B.
Double
C.
Remain same
D.
Halve
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ANSWER :
A. Quadruple