A mercury-in-glass thermometer has a cylindrical capillary of uniform internal radius

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

r=0.25\,\text{mm}

. The bulb volume at

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

0.50\,\text{cm}^3

. The real coefficient of volumetric expansion of mercury is

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

and the coefficient of linear expansion of the glass is

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

. The length of the mercury column at the ice point is

L_0=2.0\,\text{cm}

. (i) Calculate the length of the mercury column when the thermometer is placed in a water bath at

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

. (ii) If the thermometer is to be used as a clinical thermometer, comment on whether the calculated length change is adequate for easy readability.