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A barometer with brass scale, which is c...

A barometer with brass scale, which is correct at `0^(@)C`, reads 75.000 сm on a day when the air temperature is `20^(@)C`. Calculate correct reading at `0^(@)C`. (Coefficient of real expansion of mercury = `0.00018//^(@)C` and coefficient of linear expansion of brass = `0.0000189//""^(@)C`.)

Text Solution

Verified by Experts

We know `H_(0)=H(1-(gamma-alpha)t)`.
neglecting `gammaalpha` term
In this problem, H = 75.000 cm, `t=20^(@)C`,
`gamma=0.00018//""^(@)C,alpha=0.0000189//""^(@)C`
`H_(0)=75.000[1-(0.00018-0.0000189)20]`
= 74.758 cm.
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