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The time period of a pendulum is given by
\( \mathrm{P} \)
\( \mathrm{W} \) \( T=2 \pi \sqrt{\frac{l}{g}} \) If the temperature rises by \( \Delta \theta \) and
coefficient of linear expansion of the wire is \( \alpha \), the change in time period is
(1) \( \alpha \Delta \theta x T \)
(2) \( \frac{1}{2} \alpha \Delta \theta x T \)
(3) \( 2 \alpha \Delta \theta x T \)
(4) \( \frac{1}{2} \alpha \Delta \theta \)
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