Q.

A clock with an iron pendulum keeps correct time at 150C. If the coefficient of linear expansion of iron is 0.000012/0C and the room temperature is 200C it loses time in a day in seconds is

Moderate

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1.35

2.6

3.25

3.85

answer is 2.

(Detailed Solution Below)

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Detailed Solution

loss or gain of time by clock per day is ΔT=12αΔt×86400 second here α is coefficient of linear expansion=12x10−6/C 0;Δt is change in temperature =5C 0 ΔT=12×12×10−6×5×86400 ΔT=3×864×10−3 ΔT=2592×10−3=2.592≃2.6 seconds=time lost in a day

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