(a) A pendulum clock consists of an iron rod connected to a small, heavy bob. If it is designed to keep correct time at `20^(@)C` , how fast or slow will it go in 24 hours at `50^(@)C` ? `alpha_(iron)=1.2xx10^(-5)//^(@)C` . (b) A pendulum clock having copper rod keeps correct time at `20^(@)C` . It gains 15 seconds per day if cooled to `0^(@)C` . Find the coefficient the of linear expansion of copper.

(a) A pendulum clock consists of an iron rod connected to a small, hea

1.	(a) A pendulum clock consists of an iron rod connected to a small, heavy bob. If it is designed to keep correct time at `20^(@)C` , how fast or slow will it go in 24 hours at `50^(@)C` ? `alpha_(iron)=1.2xx10^(-5)//^(@)C` . (b) A pendulum clock having copper rod keeps correct time at `20^(@)C` . It gains 15 seconds per day if cooled to `0^(@)C` . Find the coefficient the of linear expansion of copper.
Answer» (a) `If theta gt theta_(0)` , loss of time `theta lt theta_(0)` , gain of time `theta_(0)` : temperature at which clock gives correct time `theta_(0)20^(@)C` , `theta=50^(@)C` Loss of time per day `=(1)/(2)alpha_(i)(theta-theta_(0))xx86400` `=(1)/(2)xx1.2xx10^(-5)(50-20)xx86400` `=15.6s` (b) Gain of time per day `(1)/(2)alpha(theta_(0)-theta)xx86400=15` `(1)/(2)alpha(20-0)xx86400=15` `alpha=(15)/86400=1.7xx10^(-5)//^(@)C` .

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