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A capillary tube is attached horizontall...

A capillary tube is attached horizontally to a constant pressure head arrangement. If the radius of the capillary tube is increased by `10%`, then the rate of flow of the liquid shall change nearly by

A

`+10%`

B

`+46%`

C

`-10%`

D

`-40%`

Text Solution

Verified by Experts

The correct Answer is:
B
`V=(Ppir^(4))/(8etal) implies (V_(2))/(V_(1)) = ((r_(2))/(r_(1)))^(4) implies V_(2) = V_(1) ((110)/(100))^(4) = V_(1)(1.1)^(4) = 1.4641 V`
`(DeltaV)/(V) = (V_(2)-V_(1))/(V) = (1.4641V-V)/(V) = 0.46 " or " 46%`.
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