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A viscous fluid is flowing through two horizontal pipes. The pressure difference \( P_{2}-P_{1} \) between the ends of each pipe is the same. The pipes have the same radius, although one is twice as long as the other. How does the volume flow rate \( Q_{B} \) in the longer pipe compare with the rate \( Q_{A} \) in the shorter pipe?
(1) \( Q_{B} \) is the same as \( Q_{A} \).
(2) \( Q_{B} \) is twice as large as \( Q_{A} \).
(3) \( Q_{B} \) is four times as large as \( Q_{A} \).
(4) \( Q_{B} \) is one-half as large as \( Q_{i} \)
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