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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

0.04mm

C

0.03mm

D

0.02mm

Text Solution

Verified by Experts

The correct Answer is:
A
`V = sqrt((I)/(mu)) " "rArr " " T = mu v^(2) = ( 6 xx 10^(-13))/(1.2) xx 10^(4)m = 50 N`
`Delta l = (Tl)/(YA) = (50 xx 1.2)/(10^(12) xx 1.2 xx 10^(-6)) = 5 xx 10^(5) m = 0.05m`
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