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Take the values of (prop) from table 20....

Take the values of (prop) from table `20.2`.
A pendulum clock of time period `2 s` gives the correct time at `30^@ C`. The pendulum is made of iron. How many seconds will it lose or gain per day when the temperature falls tp `0^@ C`? `alpha _(Fe) = 1.2 xx 10^-5 (.^@ C)^-1`.

Text Solution

Verified by Experts

The correct Answer is:
A
`Delta T = 1/2 T (alpha Delta theta) `
Temperature is decreased. Hence, (l) or (T) will decrease. So, it will gain time.
Time gained = `(Delta T)/(T')t ~~ (Delta T)/T t` `(as T' ~~ T)`
= `1/2 alpha Delta theta t = 1/2(1.2 xx 10^-5)(30)(24 xx 60 xx 60)`
= `15.55 s`.
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