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Transverse waves are generated in two un...

Transverse waves are generated in two uniform steel wires `A and B` by attaching their free ends to a fork of frequency `500 Hz`. The diameter of wire `A` is half that `B` and tension in wire `A` is half the tension in wire `B`. What is the ratio of velocities of waves in `A and B`?

A

`1:2`

B

`sqrt2:1`

C

`2:1`

D

`1:sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
`v= sqrt((T)/(rhoS))= sqrt ((T)/(rho(pid^(2))//(4)))`
`:. v prop sqrt((T)/(d^(2)`
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