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Question

The cylindrical tube of a spray pump has radius of 5 cm, one end of which has 10 fine holes each of radius 0.1 cm. If the speed of liquid in the tube is 1 m/s, the speed of the ejection of the liquid through the holes is

A
125 m/s
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B
250 m/s
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C
450 m/s
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D
500 m/s
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Solution

The correct option is B 250 m/s
Given, radius of pipe R=5 cm
Area of pipe A1=πR2=π(5)2×104 m2
Radius of one fine hole =r=0.1 cm
Area of 10 fine holes = 10×πr2
=10×π(0.1)2×104 m2
Speed of liquid in tube v1=1 m/s
Let speed of ejection of liquid through the holes =v2
Using continuity equation,
A1V1=A2V2
π(5)2×104×(1)=10×π(0.1)2×104×v2
v2=250 m/s

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