JAMB - Physics (2007 - No. 29)

A blacksmith heated a metal whose cubic expansivity is 6.3 x 10\(^{-6}\)K\(^{-1}\). The area expansivity is
2.0 x 10-6K-1
2.1 x 10-6K-1
4.2 x 10-6K-1
6.3 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 2.1x10\(^{-6}\)
= 4.2 x 10\(^{-6}\)K\(^{-1}\)

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