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Volume of the bulb of a mercury thermome...

Volume of the bulb of a mercury thermometer at `0^(@)C" is "V_(0)` and area of cross section of the capillary tube is `A_(0)`, coefficient of linear expansion of glass is `alpha_(g)` per `""^(@)C`, and the cubical expansion of mercury is `gamma_(m)` per `""^(@)C`. If the mercury fills the bulb at `0^(@)C`, find the length of mercury column in capillary tube at `T^(@)C`

A

`h= (V_0)/( A_0) [ (gamma_(Hg)-3 alpha_(g) )/( 1+ 2 alpha_(g) t) ]t`

B

`h =(V_0)/( A_0) [ ( gamma_(Hg) - 2alpha_(g) ) /( 1+ 2 alpha_(g) t) ]t`

C

`h= (V_0)/( A_0) [ (gamma_(Hg) + 3 alpha_(g) ) /( 1+ 2 alpha_(g) t) ]t`

D

`h = ( V_0)/( A_0) [ ( gamma_(Hg) - 3 alpha_(g))/( 1 -2 lapha_(g) t) ] t`

Text Solution

Verified by Experts

The correct Answer is:
A
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