Water flows through a vertical tube of variable cross-section. The area of cross-section at \( A...

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Water flows through a vertical tube of variable cross-section. The area of cross-section at \( A \) and \( B \) are 6 and \( 3 \mathrm{~mm}^{2} \) respectively. If \( 12 \mathrm{cc} \) of water enters per second through \( A \), find the pressure difference \( P_{A}-P_{B^{\prime}}\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right) \). The separation between the cross-sections at \( A \) and \( B \) is \( 100 \mathrm{~cm} \).
(A) \( 1.6 \times 10^{5} \mathrm{dyne} / \mathrm{cm}^{2} \)
(B) \( 2.29 \times 10^{5} \) dyne \( / \mathrm{cm}^{2} \)
(C) \( 5.9 \times 10^{5} \) dyne \( / \mathrm{cm}^{2} \)
(D) \( 3.9 \times 10^{5} \) dyne \( / \mathrm{cm}^{2} \)
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