Water flows through a horizontal pipe of radius 'r' at a speed V. If the radius of the pipe is doubled, the speed of flow of water under similar conditions is

Question

Water flows through a horizontal pipe of radius 'r' at a speed V. If the radius of the pipe is doubled, the speed of flow of water under similar conditions is (A) 2V (B) (V/2) (C) (V/4) (D) 4V

Tardigrade Admin · Accepted Answer

From eq n of continity beginarrayl V π r 2= V B π(2 r )2 V B =( V /4) endarray

Q. Water flows through a horizontal pipe of radius 'r' at a speed V. If the radius of the pipe is doubled, the speed of flow of water under similar conditions is

2V

$\frac{V}{2}$

$\frac{V}{4}$

4V

From eq $^{n}$ of continity
$< b r / > < b r / > Vπ r^{2} = V_{B} π (2 r)^{2} < b r / > V_{B} = \frac{V}{4} < b r / > < b r / >$

Q. Water flows through a horizontal pipe of radius 'r' at a speed V. If the radius of the pipe is doubled, the speed of flow of water under similar conditions is

2V

2V​

4V​

4V

From eq n of continity <br/><br/>Vπr2=VB​π(2r)2<br/>VB​=4V​<br/>​<br/>

$\frac{V}{2}$

$\frac{V}{4}$

From eq $^{n}$ of continity
$< b r / > < b r / > Vπ r^{2} = V_{B} π (2 r)^{2} < b r / > V_{B} = \frac{V}{4} < b r / > < b r / >$