If p is the pressure of a gas and rho is...

If p is the pressure of a gas and `rho` is its density, then dimension of velocity is given by ______ .

A

`p^(1//2)rho^(-1//2)`

B

`p^(1//2)rho^(1//2)`

C

`p^(-1//2)rho^(1//2)`

D

`p^(-1//2)rho^(-1//2)`

Verified by Experts

The correct Answer is:

A

Pressure exerted by a gas
`rho=(1)/(3)rhov^(-2),v propsqrt((3rho)/(rho))`
`[v]=[rho^(1//2),rho^(-1//2)]`

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