A mercury-in-glass thermometer has a bulb volume of at

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A mercury-in-glass thermometer has a bulb volume of

1.0\,\text{cm}^3

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

. The real coefficient of volume expansion of mercury is

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

and the cubical expansion coefficient of glass is

9.0\times10^{-6}\,\text{K}^{-1}

. The capillary cross-sectional area is

1.0\times10^{-2}\,\text{cm}^2

. What length of mercury column (in mm) will appear above the

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

mark when the thermometer is placed in boiling water at

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

? (a) 18.0\,\text{mm} (b) 1.71\,\text{mm} (c) 17.1\,\text{mm} (d) 15.4\,\text{mm}