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A tube A of radius r is connected to two other tubes B and C with the help of a junction valve. The tubes B and C have radii r 2 and r 3 and the flow velocity in each is v and 3 v respectively. If the flow velocity in tube A is n m v , where n and m are integers, then what is the value of n + m ?

Correct answer

19.00

Step-by-step solution

The volume flowrate in tube A will be equal to the total volume flowrate through B and C . π r 2 v A = π r 2 4 v + π r 2 9 3 v ⇒ v A = 7 12 v n = 7 , m = 12 ⇒ n + m = 19

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