Calculate the area of a pipe, if the rate of flow of a liquid in it is 60 litres per minute and the flow velocity is 10 cm/s.

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ISRO VSSC Technician-B (Fitter) Official Paper (Held On: 14 July 2021)
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  1. 40 cm2
  2. 60 cm2
  3. 50 cm2
  4. 100 cm2

Answer (Detailed Solution Below)

Option 4 : 100 cm2
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Detailed Solution

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Concept:

Discharge:

  • Discharge is given by the product of area of cross section of the pipe and discharge/flow velocity.

And 1 Litres = 10-3 m3 

Calculation:

Given:

Discharge = 60 litres/minute = 60 × 10-3 m3 /min = 60 × 10-3 × 106 cm3 /min= 60 × 103 cm3/min = 103 cm3/sec

Flow velocity = 10 cm/s

∵ Discharge = flow velocity × Area

⇒ 103 = 10 × Area

⇒ Area = 100 cm2

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