Question

The sum and difference of the coefficient of real and apparent expansion of a liquid are in the ratio 2:1. The ratio of the coefficient of real expansion and apparent expansion must be :

• A. 1:1
• B. 2:3
• C. 3:1
• D. 6:5

Answer 1

Answer: (C)

3:1

${\gamma }_r={\gamma }_a+{\gamma }_g$
Given,
$\frac{{\gamma }_r+{\gamma }_a}{{\gamma }_r-{\gamma }_a}=\frac{2}{1}$
$\therefore \frac{({\gamma }_r+{\gamma }_a)+({\gamma }_r-{\gamma }_a)}{({\gamma }_r+{\gamma }_a)-({\gamma }_r-{\gamma }_a)}=\frac{2+1}{2-1}$
$\therefore \frac{2\times {\gamma }_r}{2\times {\gamma }_a}=\frac{3}{1}$
$\therefore \frac{{\gamma }_r}{{\gamma }_a}=\frac{3}{1}$