A clock that keeps correct time at 20 ° C , is subjected to 40 ° C . If the coefficient of linear expansion of the pendulum is 12 × 10 - 6 ° C - 1 , the time gained or lost, per day, is

Question

A clock that keeps correct time at 20 ° C , is subjected to 40 ° C . If the coefficient of linear expansion of the pendulum is 12 × 10 - 6 ° C - 1 , the time gained or lost, per day, is, 10.3 s d a y - 1, 20.6 s d a y - 1, 5 s d a y - 1, 20 min ⁡ d a y - 1

MARKS App · Accepted Answer

Time period, T = 2 π l g ∆ T T = 1 2 ∆ l l = 1 2 α ∆ θ = 1 2 × 12 × 10 − 6 × ( 40 − 20 ) = 12 × 10 − 5 ∆ T = T × 12 × 10 - 5 = 24 × 60 × 60 × 12 × 10 - 5 = 10.3 s day − 1

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