A mercury thermometer is to be made with glass tubing of internal bore 0.5 mm diameter and the distance between the fixed point is to be 20 cm. Estimate the volume of the bulb below the lower fixed point, given that the coefficient of cubical expansion of mercury is `0.00018//K`. and the coefficient of linear expansion of glass is `0.000009//K`.

A mercury thermometer is to be made with glass tubing of internal bore

1.	A mercury thermometer is to be made with glass tubing of internal bore 0.5 mm diameter and the distance between the fixed point is to be 20 cm. Estimate the volume of the bulb below the lower fixed point, given that the coefficient of cubical expansion of mercury is `0.00018//K`. and the coefficient of linear expansion of glass is `0.000009//K`.
Answer» Let V be the required volume, Apparent increase in volume `=vxxgamma_(alpha)xx100cm^3` or `Vxx(0.00018-0.000027)xx100` `=pixx625xx10^-6xx20` or `V=(pixx625xx10^-6xx20)/(1.53xx10^-4)=2.57cm^3`

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