A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their respective axes. But the magnetic moment of hoop is twice of solid cylinder. They are placed in a uniform magnetic

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Quantrex Academy · Accepted Answer

Correct answer: B. T _ h = T _ c

Time period of any magnetic body place in an external magnetic field is:-

T = 2\pi\sqrt{\dfrac{I}{MB}}

{T}_{hoop} = 2\pi\sqrt{\dfrac{m{R}^{2}}{MB}}

......

( 1 )

{I}_{hoop} = m{R}^{2}

{T}_{c} = 2\pi\sqrt{\dfrac{\dfrac{m{R}^{2}}{2}}{\dfrac{M}{2}\left(B\right)}}

......

( 2 ) {I}_{Solidcylinder} = \dfrac{m{R}^{2}}{2}

<br/><br/>From

( 1 )

and

( 2 )

<br/><br/>

{T}_{h} = {T}_{c}

A hoop and a solid cylinder of same mass and radius are made of a...

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