First slide

Thermal expansion

Question

If coefficient of cubical expansion is x times coefficient of superficial expansion, then the value of ‘x’ is

Moderate

A

1.5
B

2
C

2.5
D

3

Solution

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

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