In a mercury in glass thermometer the cr...

In a mercury in glass thermometer the cross section of the capillary is `A_(0)` and volume of the bulb is `V_(0)` at `0^(@)C`. If mercury just fills the bulb at `0^(@)C`, find the that the length of mercury in the capillary at temperature `t.^(@)C`. Given that `beta`=coefficient of cubical, expansion on mercury and `alpha=` coefficient of linear expansion of glass.

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The correct Answer is:

`(V_(0)(beta-3 alpha)t)/(A_(0)(t+2 alphat))`

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In a mercury-glass thermometer the cross-section of the capillary portion is A_(0) and the volume of the bulb is V_(0) at 273K . If alpha and gamma are the coefficients of linear and cubical expansion coefficients of glass and mercury respectively then length of mercury in the capillary at temperature t^(@)C is (Ignore the increase in cross-sectional area of capillary)

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