Question

A pendulum clock loses 12 s a day if the temperature is 40°C and gains 4 s in a day if the temperature is 20°C. The temperature at which the clock will show correct time, and the coefficient of linear expansion (α) of the metal of the pendulum shaft are respectively

(a) 25°C,α = 1.85 x 10^-5/°C

(b) 60°C,α = 1.85 x 10^-4/°C

(c) 30°C,α = 1.85 x 10^-3/°C

(d) 55°C,α = 1.85 x 10^-2/°C

Answer 1

Correct Option (d) 55°C,α = 1.85 x 10^-2/°C

Explanation:

Time period of a pendulum,

where l is length of pendulum and g is acceleration due to gravity. Such as change in time period of a pendulum,