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Standard X

Mathematics

Volume of Combination of Solids

. The coeffic...

Question

. The coefficient of linear expansion of iron is 10–5 per 0 C. The volume of an iron cube, 5cm on edge will increase by what amount if it is heated from 10 0 C to 6 o C

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Solution

Dear Student,

$coefficient of linear expansion, α = 10^{- 5} per ° C Volume of cube, V = {(5)}^{3} {cm}^{3} ∆ V = 3 αV ∆ T ∆ V = 3 \times 10^{- 5} \times {(5)}^{3} \times (60 - 10) ∆ V = 3 \times 10^{- 5} \times 125 \times 50 = 0.1875 {cm}^{3}$

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. The coefficient of linear expansion of iron is 10–5 per 0 C. The volume of an iron cube, 5cm on edge will increase by what amount if it is heated from 10 0 C to 6 o C ​

Dear Student, coefficient of linear expansion, α=10-5 per°CVolume of cube, V=53 cm3∆V=3αV∆T∆V=3×10-5×53×60-10∆V=3×10-5×125×50=0.1875 cm3

. The coefficient of linear expansion of iron is 10–5 per 0 C. The volume of an iron cube, 5cm on edge will increase by what amount if it is heated from 10 0 C to 6 o C

Dear Student,

$coefficient of linear expansion, α = 10^{- 5} per ° C Volume of cube, V = {(5)}^{3} {cm}^{3} ∆ V = 3 αV ∆ T ∆ V = 3 \times 10^{- 5} \times {(5)}^{3} \times (60 - 10) ∆ V = 3 \times 10^{- 5} \times 125 \times 50 = 0.1875 {cm}^{3}$