Question

Q4.lf two rods of lengths 1m and 2m having coefficient of linear expansions 2 alpha and alpha respectively are connected end to end the average coefficient of linear expansion of the composite rod equals

$1)3 \alpha$
$2) \frac{2 \alpha }{3}$
$3)\frac{3 \alpha }{2}$
$4)\frac{4 \alpha }{3}$


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Answer 1

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11th

Physics

Thermal Properties of Matter

Thermal Expansion

If two rods of length L and...

PHYSICS

If two rods of length L and 2L having coefficients of linear expansion α and 2α respectively are connected so that total length becomes 3L, the average coefficient of liner expansion of the composition rod equals:

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ANSWER

Initial length of combination is L+2L=3L

Increment in first rod is LαΔt

Increment in second rod is (2L)(2α)Δt=4LαΔt

So increment in combination is sum of both so 5LαΔt

Initial length of combination was 3L so coefficient for combination is

initial length* change in temperature

change

=

3LΔt

5LαΔt

=5α/3