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A cylindrical vessel of radius R and height H and open at the top is completely filled with water. A small circular hole of radius r is made near the bottom of vessel. The time taken for 25 % of water to flow out is

Options

  1. A2 H g 3 - 1
  2. BR 2 r 2 2 H g 1 + 2 3
  3. CR 2 r 2 2 H g 1 - 3 2
  4. Dr 2 R 2 2 H g 3 - 1

Correct answer

C. R 2 r 2 2 H g 1 - 3 2

Step-by-step solution

T = A a 2 H g = R 2 r 2 2 H g t 1 = R 2 r 2 2 g × 3 H 4 ∴ Δ t = T - t 1 = R 2 r 2 2 H g 1 - 3 2

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