Identify the correct statement
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$\mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}}}$
$\mathrm{T}=2 \pi \sqrt{\frac{\ell_{0}(1+\alpha)}{\mathrm{g}}}$
Increase in temperature
$\frac{\Delta \mathrm{T}}{\mathrm{T}}=\frac{1^{1}}{2} \frac{\Delta \theta}{\theta}$ this has no term of lengths
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$(a)$ Potential energy is always equal to its $K.E.$
$(b)$ Average potential and kinetic energy over any given time interval are always equal.
$(c)$ Sum of the kinetic and potential energy at any point of time is constant.
$(d)$ Average $K.E.$ in one time period is equal to average potential energy in one time period.
Choose the most appropriate option from the options given below: