First slide

Thermal expansion

Question

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

Moderate

A

1:1
B

2:3
C

3:1
D

6:5

Solution

$\frac{γ_{R} + γ_{a}}{γ_{R} - γ_{a}} = \frac{2}{1} γ_{R} i s c o e f f i c i e n t o f r e a l e x p a n s i o n a n d γ_{a} i s c o e f f i c i e n t o f a p p a r e n t e x p a n s i o n γ_{R} + γ_{a} = 2 γ_{r} - 2 γ_{a} 3 γ_{a} = γ_{R} ∴ \frac{γ_{R}}{γ_{a}} = \frac{3}{1} = r a t i o o f c o e f f i c i e n t o f r e a l a n d a p p a r e n t e x p a n s i o n s$

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