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)

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 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
ANSWER :
C. R√(2/5)
8.
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
ANSWER :
D. R
9.
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
ANSWER :
C. R/√2
10.
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
ANSWER :
C. I/k²
11.
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
12.
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 :
A. R/2