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 thin rod about an axis passing through its midpoint and perpendicular to the rod is 2400 g·cm². The length of the 400 g rod is nearly:

NEET - 2024

A.
8.5 cm
B.
17.5 cm
C.
20.7 cm
D.
72.0 cm
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ANSWER :
B. 17.5 cm
8.
The radius of gyration k of a body about an axis is defined by:
A.
k = I/M
B.
k = √(I/M)
C.
k = I²/M
D.
k = M/I
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ANSWER :
B. k = √(I/M)
9.
The radius of gyration of a solid sphere of mass M and radius R about its diameter is:
A.
R
B.
R/√2
C.
R√(2/5)
D.
R/√5
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ANSWER :
C. R√(2/5)
10.
The radius of gyration of a thin circular ring of radius R rotating about its own axis (perpendicular to plane) is:
A.
R/√2
B.
R/2
C.
R√2
D.
R
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ANSWER :
D. R
11.
The radius of gyration of a solid cylinder of radius R about its own axis is:
A.
R
B.
R/2
C.
R/√2
D.
R√2
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ANSWER :
C. R/√2
12.
If the radius of gyration of a body about an axis is k and its moment of inertia is I, the total mass of the body is:
A.
k²/I
B.
I/k
C.
I/k²
D.
k/I
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ANSWER :
C. I/k²