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  4. A clock which keeps correct time at 25° C has a pendulum made of a metal. The temperature falls to 0° C. If the coefficient of linear expansion of the metal is 1.9 × 10-5 per ° C, then number of second the clock gains per day is :

Q. A clock which keeps correct time at $25^{\circ} C$ has a pendulum made of a metal. The temperature falls to $0^{\circ} C$. If the coefficient of linear expansion of the metal is $1.9 \times 10^{-5}$ per ${ }^{\circ} C$, then number of second the clock gains per day is :

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Solution:

We use $\Delta T=\frac{1}{2} \alpha T \Delta \theta$
$\Rightarrow \Delta T=\frac{1}{2} \times 1.9 \times 10^{-5} \times 86400 \times 25$
$\Rightarrow \Delta T=20.52\, s$

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