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>>Class 11
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>>Oscillations
>>Simple Harmonic Motion
>> $The relation between T and g by$

Question

The relation between T and g by

A

$T \propto g$

B

$T \propto g^{2}$

C

$T^{2} \propto g^{- 1}$

D

$T \propto \frac{1}{g}$

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Updated on : 2022-09-05

Solution

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Correct option is C)

T = time period of oscillation
g = effective acceleration on pendulum
l = length of pendulum.
so, $T = 2 π \frac{l}{g} \Rightarrow T^{2} = 4 π^{2} \frac{l}{g} \Rightarrow T^{2} \propto \frac{1}{g}$
When $l$ is unchanged.

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