The coefficient of volumetric expansion of mercury is \( 18 \times 10^{-5} /{ }^{\circ} \mathrm{...

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The coefficient of volumetric expansion of mercury is \( 18 \times 10^{-5} /{ }^{\circ} \mathrm{C} \). A thermometer bulb has a volume \( 10^{-6} \mathrm{~m}^{3} \) and cross section of stem is \( 0.004 \mathrm{~cm}^{2} \). Assuming that bulb is filled with mercury at \( 0^{\circ} \mathrm{C} \) then the length of the mercury column at \( 100^{\circ} \mathrm{C} \) is [DPMT 1997, 2001; Pb. PMT 1998]
(a) \( 18.8 \mathrm{~mm} \)
(b) \( 9.2 \mathrm{~mm} \)
(c) \( 7.4 \mathrm{~cm} \)
(d) \( 4.5 \mathrm{~cm} \)
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