First slide

Thermal expansion

Question

A mercury thermometer contains 2c.c. of Hg. at 0°C. Distance between 0°C and 100°C marks on the stem is 35cm and diameter of the bore is 0.02cm. γ_A of liquid is

Easy

A

0.000055/°C
B

0.000066/°C
C

0.00055/°C
D

0.000058/°C

Solution

$\large \gamma_A=\frac {\Delta V}{V\Delta t}=\frac {\pi R^2h}{V\Delta t}=\frac {22}7\times \frac {10^{-4}\times 35}{2\times 100}$
$\large =55\times 10^{-6}/^0C$

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