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MHT CET 2026 (20 Apr, Shift 2) · Velocity of Efflux (Torricelli)

Velocity of Efflux (Torricelli) question from MHT CET 2026 (20 Apr, Shift 2)

Q4MHT CET 2026 · 20 APR · SHIFT 2Difficult

Velocity of Efflux (Torricelli)

On opposite sides of a wide vertical vessel filled with water (density ρ\rho), two identical holes are drilled, each having cross-section area AA. The height difference between holes is xx. The resultant force of reaction of water flowing out of vessel is (gg = acceleration due to gravity)

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Answer: (b)

jetjetF1F2x
  1. Reaction force of a jet: F=ρAv2=ρA(2gh)=2ρAghF = \rho A v^2 = \rho A(2gh) = 2\rho A g h
  2. The jets leave in opposite directions, so the reactions oppose each other.
  3. Net force: F2−F1=2ρAg(h2−h1)=2ρAgxF_2 - F_1 = 2\rho A g(h_2 - h_1) = 2\rho A g x
  4. So the answer is (b) 2ρAgx2\rho A g x.
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