Q.

A rectangular block is heated from 0°C to 100°C. The percentage increase in its length is 0.10%. What will be the percentage increase in its volume ?

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a

0.03 %

b

0.10 %

c

0.30 %

d

none of these

answer is C.

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Detailed Solution

Given Δl/l=0⋅10%=0⋅001 and ΔT=100∘CNow     Δll=αΔTor       0⋅001=α×100  or  α=10−5/∘CFurther      γ=3α=3×10−5/∘C∴ ΔVV=γΔT=3×10−5(100)=3×10−3or    ΔVV×100=3×10−3(100)=0⋅30%
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