Fluid Mechanics

JEE Main level, single correct, medium

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Question 1 of 192

Water flows through a horizontal pipe of non-uniform cross-section. At point AA the velocity is 2 m/s2\,\text{m/s} and pressure is PAP_A. At point BB, where diameter is halved, velocity is:

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Answer: (A) 8 m/s8\,\text{m/s}

By continuity: A1v1=A2v2  ⟹  v2=v1(d1/d2)2=2×22=8 m/sA_1 v_1 = A_2 v_2 \implies v_2 = v_1 (d_1/d_2)^2 = 2 \times 2^2 = 8\,\text{m/s}.

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