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A wire increase by 10 ^(-6) times its o...

A wire increase by `10 ^(-6) ` times its original length when a stress of `10 ^(8) Nm ^(-2)` is applied to it, calculate its Young's modulus.

Text Solution

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`10^(14) Nm ^(2)`
`Y= ("Stress")/((Delta l )/(l )) = (10 ^(8))/( 10 ^(-6)) = 10 ^(14) Nm ^(-2)`
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Knowledge Check

  • The adjacent graph shows the extension (DeltaI) of a wire of length 1 m suspended from the top of a roof at one end with a load W connected to the other end. If the cross-sectional area of the wire is 10^(-6) m ^(2), calculate The Young's modulus of the material of the wire is ........

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    D
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  • A metal wire of uniform cross-sectional area A and length L, has mass m. It is suspended vertically from a ceiling. If its Young's modulus is Y, then the elongation Deltal of wire due to its own weight will be .........

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  • Speed of transwerse wave of a straight wire having mass 6.0g length 60cm and area of cross- section 1.0 mm^(2) is 90 m/s. If the Young's modulus of wire is 1.6 xx 10^(11) Nm^(-2) , the extension of wire over its natural length is

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