The circular water pipes shown in the sketch are flowing

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The circular water pipes shown in the sketch are flowing full. The velocity of flow (in m/s) in the branch pipe ‘R’ is

1. 3
2. 4
3. 5
4. 6

Correct Option: B

Q_p = Q_q + Q_r
A_pV_p= A_qV_q + A_rV_r

π	× 4² × 6 =	π	× 4² × 5 +	π	× 2² × V
4		4		4

∴ r = 4 m/s.