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A 3kg of mass is hanging from one end of...

A 3kg of mass is hanging from one end of a vertical copper wire of length 2 m and of diameter 0.5 mm, due to this the elongation produced in the wire is 2.38 mm. Find young's modulus of copper.

Text Solution

Verified by Experts

Young modulus, `Y=(mgL)/(pir^2l)`.
Here, m=3kg, `g=9.8 m.s^-2,L=2m`
`r=0.5/2mm=(5times10^-4)/2m=2.5times10^-4m`,
`l=2.38mm=238times10^-5m`
`thereforeY=(3times9.8times2)/(3.14times(2.5times10^-4)^2times238times10^-5)`
`=1.26times10^11N.m^-2`
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