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The below figure shows a pipe with a circular cross section of diameter 5 cm on the left end and a square cross section with diagonal 5 cm on the right end. Water enters the left end with a velocity 20 m/s and leaves the right end with a velocity V2. Find V2 (neglect losses in the pipe).

The below figure shows a pipe with a circular cross section of diameter 5 cm on the left end and a square cross section with diagonal 5 cm on the right end. Water enters the left end with a velocity 20 m/s and leaves the right end with a velocity V2. Find V2 (neglect losses in the pipe). Correct Answer 31.41 m/s

Apply continuity equation A1V1 = A2V2. We find that the velocity comes out to be 31.41 m/s. The question can be answered without calculations if the concept is known. V2 neither depends upon the length of the pipe nor on the intermediate cross sections if losses are neglected.

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Four pipes P, Q, R and S are connected to a tank. Pipe P, Q, R and S can fill the whole tank in 300/37 minutes. Ratio of time taken by pipe P to fill the tank when operating alone and pipe Q to fill the tank when operating alone is 3 : 2, pipe Q is 20% more efficient then pipe R and time taken by pipe S is 10 minutes more than pipe R. Find difference between time taken by pipe Q and pipe P to fill up the tank alone. 
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