1.

A wire of length l having tension T and radius `r` vibrates with fundamental frequency `f`. Another wire of the same metal with length `2l` having tension `2T` and radius `2r` will vibrate with fundamental frequency :A. `f`B. `2f`C. `(f)/(2sqrt2)`D. `(f)/(2)sqrt2`

Answer» Correct Answer - C
`f=(1)/(2l)sqrt((T)/(mu))`
If radius is doubled and length is doubled, mass per unit length will become four times.
Hence `f=(1)/(2xx2l)sqrt((2T)/(4mu))=(f)/(2sqrt2)`


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