A pendulum clock loses 12 s a day if the temperature is and gains 4 s a day if the…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

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] (1)

30^\circ\text{C}

;

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

(2)

55^\circ\text{C}

;

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

(3)

25^\circ\text{C}

;

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

(4)

60^\circ\text{C}

;

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