Physics JAMB

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 Answer:

Option C = 4.2 x 10-6K-1

Explanation

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 2.1×10-6
= 4.2 x 10-6K-1

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