Q136 / 160 · AP EAMCET 2005 · Physics

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

  • A
    $\gamma_r=\alpha_g+\gamma_a$
  • B
    $\gamma_r=\alpha_g+3 \gamma_a$
  • Correct answer
    C
    $\gamma_r=3 \alpha_g+\gamma_a$
  • D
    $\gamma_r=3\left(\alpha_g+\gamma_a\right)$

Solution

Coefficient of real expansion = coefficient of apparent expansion + coefficient of expansion of material of container but $\gamma_r=\gamma_a+\gamma_g$ So, $\gamma=3 \alpha$ $\therefore \quad \gamma_r=\gamma_a+3 \alpha_g$

Hence, the correct answer is option: 'C'.

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