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A clock , with a brass pendulum, keeps c...

A clock , with a brass pendulum, keeps correct time at `20^(@)C`, but loses `8.212` s per day , when the temperature rises to `30^(@)C`. Calculate the coefficient of linear expansion of brass.

Text Solution

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Temperature of correct time , `t_(1) =20^(@)C` Loss or gain of time in seconds per day `=8.212 sec`.
Final temperature , `t_(2)=30^(@)C`
`therefore Delta t=30-20=10`
`alpha ` of pendulum material =?
In pendulum loss or gain of time in seconds per day `=43,200. alpha Delta l`
`therefore alpha = (8.212)/(43.200xx10)=19xx10^(-6)//^(@)C`.
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