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Q.

The cylindrical tube of a spray pump has a radius,H, one end of which has n fine holes, each of radius r. If the speed of flow of the liquid in the tube is y, the speed of ejection of the liquid through the hole is 

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a

VnRr2

b

VnRr

c

VnRr1/2

d

VnRr3/2

answer is D.

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Detailed Solution

Cross-sectional area of the tube =A=πR2
 speed of flow of liquid in the tube = V
cross-sectional area of each hole =πr2
cross-sectional area of n hole =nπr2
kt the speed of ejection of liquid through the hole = v
According to continuity equation 
aV=AV nπr2V=πR2V V=VnRr2 

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