Question

thin wire of length L When heated to a certain temperature is increased its length by 1% seat of the same material of area 2 l into a lizard to same temperature the percentage increase in area will be​

Answer 1

Answer:

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See, suppose we have l* as the initial length and l being the final length

Hence, l=l* x (1+αΔt);

where Δt= t2-t1 and α=coefficient of linear expansion

or, l=l* + l* x αΔt

or, (l-l*)/l*=αΔt=1/100

So, A=A* x (1+βΔt); //b=coefficient of area expansion

or (A-A*)/A*

=βΔt

=2αΔt=2/100=2% (β=2α)

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