First slide

Thermal expansion

Question

Coefficient of volume expansion of a cube is n times coefficient of superficial expansion. Where n is

Moderate

A

1
B

1.5
C

2
D

2.5

Solution

$γ i s c o e f f i c i e n t o f v o l u m e e x p a n s i o n o f s o l i d; β i s c o e f f i c i e n t o f a r e a l e x p a n s i o n o f s o l i d; α i s c o e f f i c i e n t o f l i n e a r e x p a n s i o n o f s o l i d; r e l a t i o n b e t w e e n α a n d γ i s γ = 3 α - - - (1) b u t β = 2 α \Rightarrow α = \frac{β}{2} s u b s t i t u t e α v a l u e i n e q n (1) γ = 3 \frac{β}{2} γ = 1.5 β$

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