Frequency is the function of density `(rho)` , length `(a)` and surface tension `(T)` . Then its value is

Options

A. `krho^(1//2) alpha^(3//2)//sqrtT`
B. `krho^(3//2) alpha^(3//2)//sqrtT`
C. `krho^(1//2) alpha^(3//2)//T^(3//4)`
D. None of these

Answer

D

Explanation

`f prop rho^(a) alpha^(b) T^c`
`[T^(-1)]=[ML^(-3)]^(a)[L]^(b)[MT^(-2)]^c`
`:.` By dimensional analysis `a=-1/2, b = (-3)/2, c=1/2`
`f=(ksqrtT)/(rho^(1//2)alpha^(3//2))`