Physics

Problem

A pendulum clock loses 12 s a day if the temperature is

40^\circ\text{C}

and gains 4 s a day if the temperature is

20^\circ\text{C}

. The temperature at which the clock will show correct time, and the co-efficient of linear expansion (

\alpha

) of the metal of the pendulum shaft are respectively : [Main 2016] a.

30^\circ\text{C}

;

\alpha = 1.85 \times 10^{-3}/^\circ\text{C}

55^\circ\text{C}

;

\alpha = 1.85 \times 10^{-2}/^\circ\text{C}

25^\circ\text{C}

;

\alpha = 1.85 \times 10^{-5}/^\circ\text{C}

60^\circ\text{C}

;

\alpha = 1.85 \times 10^{-4}/^\circ\text{C}