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A barometer with a brass scale correct a...

A barometer with a brass scale correct at `0^(@)C` reads `70 cm` of mercury on a day when the air temperature is `40^(@)C`. The correct reading at `0^(@)C` is (Coefficient of real exapansion of mercury is `0.00018//^(@)C` and coefficient of linear expansion of brass is `0.00018//^(@)C)`

A

`60.5cm`

B

`69.97cm`

C

`20.5cm`

D

`50.00cm`

Text Solution

Verified by Experts

The correct Answer is:
B
`H_(0)rho_(0)g = H_(1)rho_(1)g,H_(0)rho_(0) = H(1 + alphat)(rho_(0))/((1 + gammat))`
`:. H_(0) = H[1 - (gamma - alpha)t]`
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