The extension produced in a wire of length L when under tension T is l. One of the notes emitted by the wire when it is used in sonometer is (d=density Y=Young's modulus mass per unit length `=mu,alpharhovarepsilonalpha=A)`

Options

A. `f=2/(3L^(3//2)) sqrt((Yl)/d)`
B. `f=2/(L^(3//2)) sqrt((Yl)/d)`
C. `f=1/(2L)sqrt((AYl)/(Lmu))`
D. `f=1/(4L)sqrt((AYl)/(muL))`

Answer

B, C

Explanation

`f=n/(2L)sqrt(T/mu) T/A=(Yxxl)/L`
`f=n/(2L) sqrt((YAl)/(muL)) orn/(2L) sqrt((Yl)/(d xxL))`