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A thin rod of negligible mass and area o...

A thin rod of negligible mass and area of corss-section `2xx10^(-6)m^(2)`, suspended vertically from one end, has a length of `0.5m` at `200^(@)C`. The rod is cooled to `0^(@)C`, but length is kept same by attaching a mass at the lower end. The value of this mass is: (Yound's modulus=`10^(11)N//m^(2)`, coefficient of linear expansion = `10^(-5)K^(-1)`).

Text Solution

Verified by Experts

The correct Answer is:
`(i) 4.0 kg
(ii) 0.001 J`
`(mg)/(A) = Yalpha Deltatheta rArr m = (YalphaDeltathetaA)/(g) = 4kg`.
`U = (F^(2)L)/(2AY) = 10^(-3)J`
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