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Area and Volume Expansion

Question

The superficial expansion of a metal is $β$ and volume expansion is $γ$ , then :
$β = \frac{γ}{2}$
$β = \frac{γ}{3}$
$β = \frac{2 γ}{3}$
$β = \frac{3 γ}{2}$

A

β = \frac{2 γ}{3}

B

β = \frac{γ}{2}

C

β = \frac{γ}{3}

D

β = \frac{3 γ}{2}

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Solution

Verified by Toppr

As, $\frac{α}{1} = \frac{β}{2} = \frac{γ}{3}$

$∴$ $\frac{β}{2} = \frac{γ}{3}$

$β = \frac{2 γ}{3}$

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