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Q.

Two uniform metal rods of length L1 and L2 and their linear coefficients of expansion α1 and α2 respectively, are connected to form a single rod of length L1+L2.. When the temperature of combined rod is raised by "t0C",the length of each rod increased by the same amount then α2α1+α2 is

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a

L2L1+L2

b

L1L1+L2

c

L1+L2L2

d

L1+L2L1

answer is A.

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Detailed Solution

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Given

e1=e2L1α1=L2α2 α1α2=L2L1 α1α2+1 =L2L1+1 α1+α2α2=L2+L1L1 α2α2+α1=L1L1+L2

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