A mercury thermometer has a spherical bulb of volume connected to a uniform glass…

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A mercury thermometer has a spherical bulb of volume

0.15\,\text{cm}^3

connected to a uniform glass capillary of cross-sectional area

0.001\,\text{cm}^2

. Initially, at

10\,^{\circ}\text{C}

, the mercury just fills the bulb. The coefficient of cubical expansion of mercury is

1.8\times10^{-4}\,\text{K}^{-1}

and that of glass is

2.7\times10^{-5}\,\text{K}^{-1}

. (i) Calculate the apparent increase in volume of mercury when the temperature rises from

10\,^{\circ}\text{C}

50\,^{\circ}\text{C}

. (ii) Determine the length of the mercury column that appears in the capillary at

50\,^{\circ}\text{C}