﻿ A pendulum clock keeps correct time at 20oC. The coefficient of linear expansion of pendulum is . If the room temperature increases to 40oC, how many seconds will the clock lose or gain per day? : Kaysons Education

# A Pendulum Clock Keeps Correct Time At 20oC. The Coefficient Of Linear Expansion Of Pendulum Is . If The Room Temperature Increases To 40oC, How Many Seconds Will The Clock Lose Or Gain Per Day?

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## 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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