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The height of the mercury column in a ba...

The height of the mercury column in a barometer provided with a brass scale corrercted at `0^(0)C` is observed to be `74.9 cm` at `15^(0)C`. Find the true height of the column at `0^(0)C`.
`alpha_(b) = 20 xx 10^(-6 //0)C` and `gamma_(Hg) = 175 xx 10^(-6 //^(0)C)`

A

`74.82cm`

B

`79.92cm`

C

`74.12cm`

D

`72.64 cm`

Text Solution

Verified by Experts

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