Question

Solution

Correct option is

10.37 s

The time period of a pendulum clock is given by  …(i)

Partially differentiating we get Dividing (ii) by (i) we have Where α is the coefficient of linear expansion and âˆ†θ is the rise in temperature. Thus Now, the time period of a pendulum clock T = 1s. Thus the clock gains 12 × 10–5 s every second. In a day (= 86400 s), the clock will gain 12 × 10–5× 86400 = 10.37 s.

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