Statement-I: A circular metal hoop is suspended on the edge by a hook. The hoop can oscillate side to side in the plane of the hoop, or it can oscillate back and fourth in a direction perpendicular to the plane of the hoop. The time period of oscillation would be more when oscillations are carried out in the plane of the hoop.
Statement-II : Time epriod of physical pendulum is more if moment of inertia of the rigid body about corresponding axis passing through the pivoted point is more.

Options

A. Statement-I is true, Statement-Ii is true, Statement-II is a correct explanation for Statement-I.
B. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanantion for Statement-I.
C. Statement-I is true, Statement-II is false
D. Statement-I is false, Statement-II is true

Answer

A

Explanation

`T = 2pi sqrt((I)/(mgd)), I_(1) = mR^(2) +mR^(2) =2mR^(2)`,
`I_(2) = (mR^(2))/(2) +mR^(2) =(3)/(2) mR^(2)`