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Q.

A clock pendulum made of invar has a period of 2s at 20oC. If the clock is used in a climate where average temperature is 40oC, what correction (in seconds) may be necessary at the end of 10 days to the time given by clock? αinvar =7×10−7 C−1,1 day =8.64×104s

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answer is 6.

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Detailed Solution

T=2πlg⇒ΔTT=12Δll=12αΔθ⇒ΔT=T2(αΔθ)=10×8.64×10427×10−7(20)=6s
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A clock pendulum made of invar has a period of 2s at 20oC. If the clock is used in a climate where average temperature is 40oC, what correction (in seconds) may be necessary at the end of 10 days to the time given by clock? αinvar =7×10−7 C−1,1 day =8.64×104s