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A dimensionally consistent relation for the volume `V` of a liquid of coefficiet of viscosity `eta` flowing per second through a tube of radius `r` and length `l` and having a pressure difference `p` across its end, is

A

`V=(pi pr^4)/(8 etal)`

B

`V=(pi prl)/(8 pr^(4))`

C

`V=(8pi prl)/(pir^4)`

D

`V=(pi p eta)/(8lr^4)`

Text Solution

Verified by Experts

The correct Answer is:
A
`v prop eta^(x) , r^(y) l^(z) p^w`
Poiseuille’s formula
Volume of liquid coming out of the tube per second
`implies V = (pi rhor^4)/(8 etal)`
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