The cylindrical tube of spray pump has a cross-section of 10cm2, one end of which has 50 fine holes each of area 10−8m2. If liquid flows inside the tube with a speed of 0.3m/min, find the speed with which the liquid is ejected through the holes.
A
5m/s
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B
20m/s
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C
10m/s
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D
2.5m/s
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Solution
The correct option is C10m/s Given, area of tube A1=10cm2
Area of one fine hole =10−8m2
So, area of 50 holes A2=50×10−8m2
Speed of liquid inside the tube, v1=0.3m/min ⇒v1=0.360m/s
Let the speed of liquid through the holes =v2
Applying equation of contitnuity, A1v1=A2v2 ⇒(10×10−4)×0.360=(50×10−8)×v2 ⇒v2=10m/s