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Question: Answered & Verified by Expert
The relation between the coefficient of real expansion $\left(\gamma_r\right)$ and coefficient of apparent expansion $\left(\gamma_a\right)$ of a liquid and the coefficient of linear expansion $\left(\alpha_g\right)$ of the material of the container is
PhysicsThermal Properties of MatterTS EAMCETTS EAMCET 2005
Options:
  • A $\gamma_r=\alpha_g+\gamma_a$
  • B $\gamma_r=\alpha_g+3 \gamma_a$
  • C $\gamma_r=3 \alpha_g+\gamma_a$
  • D $\gamma_r=3\left(\alpha_g+\gamma_a\right)$
Solution:
1778 Upvotes Verified Answer
The correct answer is: $\gamma_r=3 \alpha_g+\gamma_a$
Coefficient of real expansion
= coefficient of apparent expansion
+ coefficient of expansion of
material of container
but
$\gamma_r=\gamma_a+\gamma_g$
So,
$\gamma=3 \alpha$
$\therefore \quad \gamma_r=\gamma_a+3 \alpha_g$

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