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A liquid of density rho has to spray wit...

A liquid of density `rho` has to spray with help of aspirator pump at height H from liquid level as shown in figure. If gauge pressure inside bulb is P and density of air is `sigma` then velocity of air in tube AB is

A

`{(P +rhogH)/((sigma)/(2))}^((1)/(2))`

B

`{(P -rhogH)/((sigma)/(2))}^((1)/(2))`

C

`{(P +alphagH)/((sigma)/(2))}^((1)/(2))`

D

`{(P +alphagH)/(sigma)}^((1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
`P_(B)+(1)/(2)sigmaV^(2)=P_(A)+P`

`P_(B)=(P)/(A)+P-(1)/(2)sigma V^(2)`
`=(P)/(A)-rhogH`
`V=sqrt(2(P+rhogH)/(sigma)`
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