A pendulum clock loses 12s a day if the temperature is `40^@C` and gains 4s a day if the temperature is `20^@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:

Options

A. `60^@C , alpha = 1.85 xx 10^(-4)//^@C`
B. `30^@C, alpha = 1.85 xx 10^(-3)//^@C`
C. `55^@C, alpha = 1.85 xx 10^(-2)//^@C`
D. `25^@C, alpha = 1.85 xx 10^(-5)//^@C`

Answer

A