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A vertical column 50 cm long at 50^(@)C ...

A vertical column 50 cm long at `50^(@)C` balances another column of same liquid 60 cm long at `100^(@)C` . The coefficient of absolute expansion of the liquid is

Text Solution

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As the two columns balance each other, their weight must be same. OR you can say that same liquid has a length of 50 cm at `50^(@)C` and 60 cm at `100^(@)C`. Using linear expansion,
`DeltaL=LalphaDeltaT`
`(60-50)=50xxalphaxx(100-50)`
`impliesalpha=4xx10^(-3)//.^(@)C`
`impliesgamma=1.2xx10^(-2)//.^(@)C`.
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