First slide

Thermal expansion

Question

Volume of mercury in the bulb of a thermo-meter is 10^–6m³. Area of cross section of capillary tube is 2 × 10^–7m². If the temperature is raised by 100°C, the length of mercury column is (γ_Hg=18 × 10^–5/°C)

Easy

A

9 cm
B

9 mm
C

18 cm
D

5 cm

Solution

$\large \gamma_R=\frac {\Delta V}{V\Delta t}=\frac {\Delta lA}{V\Delta t}$
$\large \Rightarrow \Delta l=\frac {\gamma_RV\Delta t}{A}$
$\large =\frac {18\times 10^{-5}\times 10^{-6}\times 100}{2\times 10^{-7}}=9\times 10^{-2}=9cm$

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