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A simple pendulum made of bob of mass m ...

A simple pendulum made of bob of mass `m` and a metallic wire of negligible mass has time period `2 s` at `T = 0^(@)C`. If the temperature of the wire is increased and the corresponding change in its time period is plotted against its temperature, the resulting graph is a line of slope `S`. If the coefficient of linear expansion of metal is `alpha` then value of `S` is :

A

`1/alpha`

B

`2alpha`

C

`alpha/2`

D

`alpha`

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