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10-1.Thermometry, Thermal Expansion and Calorimetry
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A liquid with coefficient of volume expansion $\gamma$ is filled in a container of a material having the coefficient of linear expansion $\alpha$. If the liquid overflows on heating, then
A
$\gamma = 3 \alpha$
B
$\gamma > 3 \alpha$
C
$\gamma < 3 \alpha$
D
$\gamma > 3 \alpha^3$
Solution
Volumetric coefficient of expansion of material is $3 a$
As the system is heated liquid started flowing out of box, it means volumetric coefficient of expansion of liquid is greater then of the container.
$\mathrm{So}, \gamma>3 a$
Standard 11
Physics
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