JAMB - Physics (2024 - No. 92)
A blacksmith heated a metal whose cubic expansivity is 3.9 x 10\(^{-6}\)K\(^{-1}\). Calculate the area expansivity.
3.9 x 10\(^{-6}\)K\(^{-1}\)
2.6 x 10\(^{-6}\)K\(^{-1}\).
1.3 x 10\(^{-6}\)K\(^{-1}\).
1.6 x 10\(^{-6}\)K\(^{-1}\).
Explanation
3\(\alpha\) = \(\gamma\)
\(\alpha\) = \(\frac{3.9\times 10^{-6}}{3}\) = 1.3 x 10\(^{-6}\)
BUT \(\beta\) = 2\(\alpha\)
\(\beta\) = 2 x 1.3 x 10\(^{-6}\) = 2.6 x 10\(^{-6}\)K\(^{-1}\)
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