Q.

By what temperature a rod should be heated so that its length becomes 2lo if its initial length is l0. Coefficient of linear expansion is α in that temperature range

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a

ln 2α

b

α ln 2

c

ln 4

d

ln2

answer is A.

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Detailed Solution

dll dθ=α ⇒∫0△θ1.dθ = 1α∫l02l01ldl  ⇒△θ=ln 2α
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By what temperature a rod should be heated so that its length becomes 2lo if its initial length is l0. Coefficient of linear expansion is α in that temperature range