1.

A uniform wire of length L, diameter D ad densityP is stretched under a tension T. The correct relation between its fundamental freqency 'f', the length L and the diameter D is :

Answer»

`F prop (L)/(D^(2))`
`f prop (1)/(D^(2))`
`f prop (1)/(LD)`
`f prop (1)/(L sqrt(D))`

Solution :V= `(1)/(2l ) sqrt((T)/(m))`
Now mass per unit length m `rho . A= rho. (pi D^(2))/(4 ) `
v `= (1)/(2l) sqrt((T)/((pi D^(2))/(4))) = (1)/(l) sqrt((T)/(pi D^(2))) `
For CONSTANT tension T, v `prop (1)/(l)`
So correct choice is c.


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