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Q.

If two rods of length L and 2L having coefficients of linear expansion $α$ and $3 α$ respectively are connected end to end, then find the average coefficient of linear expansion of the composite rod

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a

$\frac{7 α}{3}$

b

$\frac{3 α}{7}$

c

$\frac{3 α}{5}$

d

$\frac{5 α}{3}$

answer is A.

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Detailed Solution

$α = \frac{L_{1} α_{1} + L_{2} α_{2}}{L_{1} + L_{2}}$

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