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10.1, thermonetry,thermal expansion and calorimetry — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics10.1, thermonetry,thermal expansion and calorimetry1 Mark
MCQ
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
    $\gamma = 3 \alpha$
  • ✓
    $\gamma > 3 \alpha$
  • C
    $\gamma < 3 \alpha$
  • D
    $\gamma > 3 \alpha^3$
✓

Answer

Correct option: B.
$\gamma > 3 \alpha$
b
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.

$\mathrm{So}, \gamma>3 a$

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