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A 40 cm wire having a mass of 3.2 g is s...

A 40 cm wire having a mass of 3.2 g is stretched between two fixed supports 40.05 cm apart. In its fundamental mode, the wire vibrates at 220 Hz. If the area of cross section of the wire is `1.0 mm^2`, find its Young modulus.

A

`1.98xx10^(11) N//m^(2)`

B

`2.2xx10^(11) N//m^(2)`

C

`3.96xx10^(11) N//m^(2)`

D

`3.2xx10^(11) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`f=1/(2l) sqrt(T/(mu))`
`y=T/("Ax strain")=1.98xx10^(11) N//m^(2)`
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