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 o

Question

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 o

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)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
From `V=(Ppir^(4))/(8etal)implies P=(V8etal)/(pir^(4))implies (P_(2))/(P_(1))=(V_(2))/(V_(1))xx(l_(2))/(l_(1))xx((r_(1))/(r_(2)))^(4)=2xx2xx((1)/(2))^(4)=(1)/(4)`
`impliesP_(2)=(P_(1))/(4) = (P)/(4)`

4 views Answered 2023-02-05 15:29