A pendulum clock having copper rod keeps correct time at 20-C- It gains 15 seconds per day if cooled to 0-C- Calculate the coefficient of linear expansion of copper-

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Standard XII

Physics

Thermal Expansion

A pendulum cl...

Question

A pendulum clock having copper rod keeps correct time at $20^{\circ} C$ . It gains $15$ seconds per day if cooled to $0^{\circ} C$ . Calculate the coefficient of linear expansion of copper.

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Solution

Using the concept of expansion due to heat, the new length of the pendulum is substituted in the formula and expanded binomially as shown. We then obtain the desired answer (solved in figure).

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Q. A pendulum clock having copper rod keeps correct time at

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A pendulum clock having copper rod keeps correct time at 20∘C. It gains 15 seconds per day if cooled to 0∘C. Calculate the coefficient of linear expansion of copper.

Using the concept of expansion due to heat, the new length of the pendulum is substituted in the formula and expanded binomially as shown. We then obtain the desired answer (solved in figure).

A pendulum clock having copper rod keeps correct time at $20^{\circ} C$ . It gains $15$ seconds per day if cooled to $0^{\circ} C$ . Calculate the coefficient of linear expansion of copper.