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TS EAMCET · Physics · Thermal Properties of Matter

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

  1. A \(\gamma_r=\alpha_g+\gamma_a\)
  2. B \(\gamma_r=\alpha_g+3 \gamma_a\)
  3. C \(\gamma_r=3 \alpha_g+\gamma_a\)
  4. D \(\gamma_r=3\left(\alpha_g+\gamma_a\right)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\gamma_r=3 \alpha_g+\gamma_a\)

Step-by-step Solution

Detailed explanation

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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