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Periodic Motion

The time peri...

Question

The time period of a torsional pendulum is

A

T = π \sqrt{C / I}

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B

T = 2 π \sqrt{I / C}

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C

T = 2 π \sqrt{C / I}

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D

T = π \sqrt{I / C}

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Solution

The correct option is C $T = 2 π \sqrt{I / C}$
In torsional pendulum, $ω = \sqrt{\frac{C}{I}}$
$T = \frac{2 π}{ω} = 2 π \sqrt{\frac{I}{C}}$
Option B is correct.

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