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Question

The cylindrical tube of spray pump has a cross-section of 10 cm2, one end of which has 50 fine holes each of area 108 m2. If liquid flows inside the tube with a speed of 0.3 m/min, find the speed with which the liquid is ejected through the holes.

A
5 m/s
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B
20 m/s
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C
10 m/s
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D
2.5 m/s
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Solution

The correct option is C 10 m/s
Given, area of tube A1=10 cm2
Area of one fine hole =108 m2
So, area of 50 holes A2=50×108m2
Speed of liquid inside the tube,
v1=0.3 m/min
v1=0.360 m/s
Let the speed of liquid through the holes =v2
Applying equation of contitnuity,
A1v1=A2v2
(10×104)×0.360=(50×108)×v2
v2=10 m/s

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