Q.

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 linear expansion of the composite rod equals:

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a

32α

b

52α

c

53α

d

None of these

answer is C.

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Detailed Solution

αavg =α1l1+α2l2l1+l2
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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 linear expansion of the composite rod equals: