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A liquid of density p is coming out of a...

A liquid of density p is coming out of a hose pipe of radius a with horizontal speed `upsilon` and hits a mesh . 50 % of the liquid passes through the mesh unaffected . 25 % comes back with the same speed .The resultant pressure on the mesh will be:

A

` (1)/(2) rho v^(2)`

B

`(1)/(4) rho v^(2)`

C

`(3)/(4) rho v^(2)`

D

`rho v^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Mass per unit time `= rho A v `
Force due to momentum loss ` = (1)/(4) rho A v xx v `
Force due to bounce back ` = (1)/(4) rho a v xx 2 v `
Pressure = ` ((rho A v^(2))/(4) + (rho A v ^(2))/(2))/(A) = (3)/(4) rho v^(2)`
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