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A load of 4.0 kg is suspended from a cei...

A load of 4.0 kg is suspended from a ceiling through a steel wire of length 20 mand radius 2.0 mm. It is found that the length of the wire increases by 0.031 mm as equilibrium is achieved. Find Young modulus of steel. Take `g=3.1pims^-2`

Text Solution

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The longitudiN/Al stress= ((4.0kg)(3.1pims^-2))/(pi(2.0xx10^-3m)^2)`
`=3.1xx10^6Nm^-2`
`the longitudiN/Al strain =(0.31xx10^-3m)/(2.0m)`
`=0.0155xx10^-3`
Thus `Y=(3.1xx10^6Nm^-2)/(0.0155xx10^-3)=2.0xx10^11Nm^-2`
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