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A liquid is flowing in a horizontal unif...

A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference P . The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled is

A

P

B

`(3P)/4`

C

`P/2`

D

`P/4`

Text Solution

Verified by Experts

The correct Answer is:
D
Rate of flow `Q=v/t=(piPr^4)/(8nl)`
`2Q=(piP.(2r)^4)/(8n(2l))=(8piP.r^4)/(8nl)`
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