A pendulum clock keeps correct time at 0∘C. Its mean coefficient of linear expansions is aαoC−1. The loss in seconds per day by the clock if the temperature rises by t∘C is

12αt×8640001−αt2

12αt×86400

12αt×86400(1+αt2)2

12αt×864001+αt2

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A pendulum clock keeps correct time at 0∘C. Its mean coefficient of linear expansions is aαoC−1. The loss in seconds per day by the clock if the temperature rises by t∘C is

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Text solutionVerified

T = Time period

T \propto ℓ \frac{1}{2}

ΔTT=12Δℓℓ=12αt;

Δ T = 12 α t T = α t

Total loss =12αt×86400

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Question Text	A pendulum clock keeps correct time at 0∘C. Its mean coefficient of linear expansions is aαoC−1. The loss in seconds per day by the clock if the temperature rises by t∘C is
Answer Type	Text solution:1
Upvotes	150

A pendulum clock keeps correct time at 0∘C. Its mean coefficient of linear expansions is aαoC−1. The loss in seconds per day by the clock if the temperature rises by t∘C is

Text solutionVerified

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