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The cylindrical tube of spray pump has a...

The cylindrical tube of 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 liquyid is ejected through the holes is

A

`50 ms^(-1)`

B

`5 m s^(-1)`

C

` 0.05 ms^(-1)`

D

` 0.5 m s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
According to equation of continuity , ` a_(1)v_(1)=a_(2)v_(2) `
` (40 xx 10^(-8)) xx v_(1) = 8 xx 10^(-4) xx (0.15/60)`
` or v_(1) = ( 8 xx 10^(-4) xx 0.15)/(40 xx 10^(-8) xx 60) = 5 m s^(-1)`
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