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10-1.Thermometry, Thermal Expansion and Calorimetry
normal
A liquid having coefficient of cubical expansion $\gamma $ is filled in the container having coefficient of linear expansion $\alpha $. If on heating the liquid overflows, then which of the following relations is correct?
A
$\gamma = 2\alpha $
B
$\gamma < 3\alpha $
C
$\gamma > 3\alpha $
D
$2\gamma = 3\alpha $
Solution
$\Delta \mathrm{V}_{\ell}>\Delta \mathrm{V}_{\mathrm{c}}$ in case of overflow
$\frac{\Delta \mathrm{V}_{\ell}}{\mathrm{V} \times \Delta \mathrm{T}}>\frac{\Delta \mathrm{V}_{\mathrm{c}}}{\mathrm{V} \times \Delta \mathrm{T}}$
$\gamma_{\ell}>\gamma_{c}=3 \alpha$
Standard 11
Physics
