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Frequency is the function of density (rh...

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

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

Text Solution

Verified by Experts

The correct Answer is:
D
`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))`
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