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An 8kg mass is suspended from one end of...

An 8kg mass is suspended from one end of an iron wire of length 2 m and diameter 1mm. IF the young's modulus of iron is `2 times 10^12` dyn. `cm^-2`, then what is the increase in length of the wire? [`g=980 cm.s^-2`]

Text Solution

Verified by Experts

Yound modulus , `Y=(mgL)/(pir^2l) or,l=(mgL)/(Ypir^2)`
Here m=8 kg=8000g, `g=980 cm.s^-2`,
L=2m=200cm, `r=1/2`mm=0.05 cm,
`Y=2times10^12dyn.cm^-2`
`thereforel=(8000times980times200)/(2times10^12times3.14times(0.05)^2)=0.1 cm=1mm`
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