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MHT CET202016 Oct 2020Evening ShiftPhysicsMechanical Properties of FluidsActual

A large open tank containing water has two holes to its wall. A square hole of side 'a' is made at a depth 'y' and a circular hole of radius 'r' is made at a depth '16y'from the surface of water. If equal amount of water comes out through both the holes per second, then the relation between 'r' and 'a' will be

Options

  1. Ar= 2 a
  2. Br= a 2
  3. Cr= a 2
  4. Dr= 2 a

Correct answer

B. r= a 2

Step-by-step solution

(A) v₁ A₁=v₂ A₂ 2 g h₁ A₁= 2 g h₂ A₂ y a²= 16 y r²a²=4 r²r= a 2

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