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A metal wire of length 2.5 m and area of...

A metal wire of length 2.5 m and area of cross section `1.5xx10^(-6)m^(2)` is stretched through 2 mm. if its young's modulus is `1.25xx10^(11)N.m^(2)`, find the tension in the wire.

Text Solution

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`L=2.5m,A=1.5xx10^(-6)m^(2)`,
`DeltaL=2xx10^(-3)m`
`y=1.25xx10^(11)N//m^(2)`
`y=(FL)/(ADeltaL)`
`F=(yADeltaL)/(L)`
`=(1.25xx10^(11)xx1.5xx10^(-6)xx2xx10^(-3))/(2.5)`
`F=150N`.
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