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As the temperature is increased, the period of a pendulum
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increases as its effective length increases even though its centre of mass still remains at the centre of the bob
increases as its effective length increases even though its centre of mass still remains at the centre of the bob
As the temperature increased the length $(L)$ of the pendulum increases due to expansion is linear.
So, Time period of pendulum
$$
\begin{aligned}
&T=2 \pi \sqrt{\frac{L}{g}} \\
&T \propto \sqrt{L}
\end{aligned}
$$
Hence on increasing temperature, time period $(T)$ also increases.
So, Time period of pendulum
$$
\begin{aligned}
&T=2 \pi \sqrt{\frac{L}{g}} \\
&T \propto \sqrt{L}
\end{aligned}
$$
Hence on increasing temperature, time period $(T)$ also increases.
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