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Speed of a transverse wave on a straight...

Speed of a transverse wave on a straight wire (mass 6 g, length 120 cm and area of cross section `1.2 mm^(2)` is 100 m/s) . If the Young's modulus of wire is `10^(12) Nm^(-2)` the extension of wire over its natural length is :

A

0.05 mm

B

0.04 mm

C

0.03 mm

D

0.02 mm

Text Solution

Verified by Experts

The correct Answer is:
A
`V=sqrt(I/(mu))impliesT=muv^(2)=(6xx10^(-3))/1.2xx10^(4)=50N`
`Deltal=(Tl)/(YA)=(50xx1.2)/(10^(12)xx1.2xx10^(-6))=5xx10^(5)m=0.05 m`
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