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Q.

By what temperature a rod should be heated so that its length becomes 2l0. If its initial length is l0 . Assume that α (coefficient of linear expansion) in that range of temperature remains constant and melting point is very high.

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a

ln1α

b

2α

c

1α

d

ln2α

answer is C.

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Detailed Solution

For increment of lengths comparable to original length we use,

 α=1LdLl02l01LdL=αΔθ=ln2α

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By what temperature a rod should be heated so that its length becomes 2l0. If its initial length is l0 . Assume that α (coefficient of linear expansion) in that range of temperature remains constant and melting point is very high.