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

A thin rod of negligible mass and area of cross-section `4 xx 10^(-6)m^(2)`, suspended vertically from one end has a length of `0.5 m` at `10^(@)C`. The rod is colled art `0^(@)C`, but prevented from contracting by attaching a mass at the loqedr end. Find
`(i)` This mass and
`(ii)` The energy stored in the rod.
Given for this rod, `Y = 10^(11)Nm^(-2)`, coefficient of linear expansion `= 10^(-5)K^(-1)` and `g = 10ms^(-2)`.

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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Knowledge Check

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