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MHT CET202014 Oct 2020Morning ShiftPhysicsMechanical Properties of FluidsActual

A large vessel completely filled with water has two holes ' A ' and ' B ' at depths 'h' and '4h' from the top. Hole 'A' is a square of side 'L' and hole 'B' is circle of radius 'R'. If from both the holes same quanitity of water is flowing per second, then side of square hole is

Options

  1. A2 R
  2. B2 R
  3. C2 R
  4. DR 2

Correct answer

C. 2 R

Step-by-step solution

The ratio of velocities of water is given by aligned & V_ A V_ B = h 4 h = 1 2 & V_ B =2 V_ A aligned Quantity of water flowing is same aligned V _ A L ² &= V _ B R ² V _ A L ² &=2 ~V _ A R ² L ² &=2 R ² ~L &= 2 R aligned

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