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MHT CET2018PhysicsMechanical Properties of Fluids

A vessel completely filled with water has holes A and B at depths h and 3 h from the top respectively. The hole A is a square of side L and B is a circle of radius r . The water flowing out per second from both the holes is same. Then L is equal to

Options

  1. Ar 1 2 π 1 2 3 1 2
  2. Br π 1 4 3 1 4
  3. Cr π 1 2 3 1 4
  4. Dr 1 2 π 1 3 3 1 2

Correct answer

C. r π 1 2 3 1 4

Step-by-step solution

A 1 V 1 = A 1 V 2 L 2 2 gh = π r 2 6 gh L 4 gh = π 2 r 4 3 gh L = π 1 2 r 3 1 4 L = r π 1 2 3 1 4

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