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A blacksmith heated a metal whose cubic expansi... - JAMB Physics 2007 Question

A blacksmith heated a metal whose cubic expansivity is 6.3 x 10-6K-1. The areal expansivity is
A
2.0 x 10-6K-1
B
2.1 x 10-6K-1
C
4.2 x 10-6K-1
D
6.3 x 10-6K-1
correct option: c

If the lineal expansivity = ∝

=> area expansivity β= 2∝.

And cubic expansivity δ = 3∝.

=> 6.3 x 10-6 = 3∝

∴ ∝ =

∴ ∝ = 6.3 x 10-6 = 2.1x 10-6
__3

∴ Area = 2∝ = 2 x 2.1x10-6

= 4.2 x 10-6K-1

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