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 explanation for Statement I.
c. Statement I is true, Statement II is false.
d. Statement I is false, Statement II is true.
Q. Statement I: A circular metal hop 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 forth in a direction perpendicular to the plane of the hoop. The time period of oscillation would be more when oscillation are carried out in the plane of hoop.
Statement II: Time period of physical pendulum is more if moment of inertial 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 explanation for Statement I.
C. Statement I is true, Statement II is false
D. Statement I is false, Statement II is true

Answer

A

Explanation

When the hoop oscillates in its plane, moment of inertial is `I_1=mR^2+mR^2`, i.e, `I_1=2mR^2`.
While when hoop oscillates in a direction perpenducular to plane of hoop, moment of inertial is
`I_2=(mR^2)/(2)+mR^2=(3mR^2)/(2)`.
The time period of physical pendulum is `T=2pisqrt((I)/(mgd))`, d is same in both the cases.