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The cylindrical tube of a spray pump has...

The cylindrical tube of a spray pump has a cross-section of `8 cm^2`, one end of which has `40` fine holes each of area `10^-8 m^2`. If the liquid flows inside the tube with a speed of `0.15 m min^-1`, the speed with which the liquid is ejected through the holes is.

A

5 m/s

B

0.05 m/s

C

0.5 m/s

D

50 m/s

Text Solution

Verified by Experts

The correct Answer is:
B
We have to use the equation fo continuity
`A_1v_1=A_2v_2`
`:." "A_1=8xx10^(-4)m^2,v_1=(0.15)/(60)m//s`
`A_2=(40xx10^(-8))`
`:." "v_2=(A_1v_1)/(A_2)=(8xx10^(-4)xx15xx10^(-2))/(60xx40xx10^(-8))`
`:." "v_2=(1000)/(20)=5m//s`
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