A blacksmith heated a metal whose cubic expansivity is 6.3 x 10\(^{-6}\)K\(^{-1}\). The area expansivity is
If the linear expansivity = ∝
=> area expansivity β = 2∝.
And cubic expansivity δ = 3∝.
=> 6.3 x 10\(^{-6}\) = 3∝
∴ ∝ = \(\frac{6.3 \times 10^{-11}}{3}\) = 2.1 x 10\(^{-6}\)
∴ Area = 2∝ = 2 x 2.1x10\(^{-6}\)
= 4.2 x 10\(^{-6}\)K\(^{-1}\)
There is an explanation video available below.
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