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A uniform nickel wire of length 3.14 m a...

A uniform nickel wire of length 3.14 m and radius `10^(-3)` hangs vertically. If a mass of 20 kg is attached to its free end. The extension in the wire is,
(Young's modulus of nickel `=20xx10^(10)N//m^(2)`)

A

`9.8xx10^(-2)m`

B

`9.8xx10^(-3)m`

C

`9.8xx10^(-4)m`

D

`9.8xx10^(-5)m`

Text Solution

Verified by Experts

The correct Answer is:
C
`y=(FL)/(Al) therefore l=(mgL)/(pi r^(2)y)`
`l=(20xx9.8xx3.14)/(3.14xx10^(-6)xx20xx10^(10))=9.8xx10^(-4)m`.
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