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

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.
The radius of gyration of a thin rod of length L about an axis perpendicular to it through its centre is:
A.
L/2
B.
L/√12
C.
L/√3
D.
L/√6
ANSWER :
B. L/√12
14.
The radius of gyration of a circular disc about its diameter is:
A.
R/2
B.
R/√2
C.
R/√4
D.
R/4
ANSWER :
C. R/√4
15.
The moment of inertia of a thin circular ring of mass M and radius R about an axis perpendicular to its plane and passing through its centre is:
A.
MR²/2
B.
MR²/4
C.
2MR²/3
D.
MR²
ANSWER :
D. MR²
16.
The moment of inertia of a circular disc of mass M and radius R about an axis through its centre perpendicular to its plane is:
A.
MR²
B.
MR²/4
C.
MR²/2
D.
2MR²/3
ANSWER :
C. MR²/2
17.
The moment of inertia of a thin rod of mass M and length L about an axis perpendicular to it and passing through its centre of mass is:
A.
ML²/3
B.
ML²/6
C.
ML²/12
D.
ML²/4
ANSWER :
C. ML²/12
18.
The moment of inertia of a hollow cylinder (thin-walled) of mass M and radius R about its own axis is:
A.
MR²/2
B.
2MR²/3
C.
MR²/4
D.
MR²
ANSWER :
D. MR²