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Speed of transverse wave on string is v ...

Speed of transverse wave on string is v . If tension is increased by factor of 4 and radius of the string is increased by factor of 2, then the new wave speed will be :

A

`sqrt2v`

B

v

C

4v

D

`2 sqrt2v`

Text Solution

Verified by Experts

The correct Answer is:
B
`v= sqrt((T)/(mu))= sqrt((T)/(pi r^(2)rho))`
`v_("new") = sqrt((4T)/(pi(2r)^(2)pi))`= v
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