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A clock with a metal pendulum beating se...

A clock with a metal pendulum beating seconds keeps correct time at `0^@C`. If it loses 12.5 s a day at `25^@C`, the coefficient of linear expansion of metal of pendulum is

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The correct Answer is:
2
Loss or gain per day `=dT=(1)/(2)alphadtxx86400`
Since , T =86400 s for each day
At `15^(@)C,5=(1)/(2)alpha(t-15)(86400)," At "30^(@)C,10=(1)/(2)alpha(30-t)xx86400rArr(30-t)/(t-15)=2rArrt=20^(@)Cs`
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