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Statement-1: if moment of inertia of a r...

Statement-1: if moment of inertia of a rigid body is equal about two axis, then both the axis must be parallel.
Statement-2 from parallel axis theorem `I=I_(cm)+md^(2)`, where all terms have usual meaning.

A

Statement-1 is true, Statement-2: is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is true, Statement-2: is true, Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is true but statement-2 is false

D

Both statement 1 false and statement 2 are true.

Text Solution

Verified by Experts

The correct Answer is:
D
For a uniform solid sphere moment of inertia about any axis passing through centre is same. All this axis are not parallel. Hence Statement-1 is false, Statement-2 is True.
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Knowledge Check

  • Consider a semicircular ring with mass m and radius R as shown in figure. Statement-1: The moment of inertia of semi - circular ring about an axis passing through A and perpendicular to plane is 2mR^(2) Statement-2: According to parallel axis theorem: I_(A)=1_(cm)+mR^(2)

    A
    Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
    B
    Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
    C
    Statement-1 is true, statement-2 is false.
    D
    Statement -1 is false, statement -2 is true.

  • The moment of inertia of a ring of mass 5 gram and radius 1 cm about and axis passing through its edge and parallel to its natural axis is

    A
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    C
    `"20 g - cm"^(2)`
    D
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  • Statement-1 : Moment of inertia of a body is same, whatever be the axis of rotation. Statement-2 : Moment of inertia depends on mass and size of rotation of the body.

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    Statement-1 is true, Statement-2 is true ,
    Statement-2 is correct explanation of Statement-1.
    B
    Statement-1 is true, Statement-2 is true but Statement-2 is not correct explanation of Statement-1.
    C
    Statement-1 is true, but statement-2 is false.
    D
    Statement-1 is false, but statement-2 is true.

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