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A blacksmith heated a metal whose cubic expansivity is 6.3 x 10-6K-1. The areal ...

A blacksmith heated a metal whose cubic expansivity is 6.3 x 10-6K-1. The areal expansivity is
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  • 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
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
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∴ Area = 2∝ = 2 x 2.1x10-6
= 4.2 x 10-6K-1

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