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AP EAMCET2011PhysicsMechanical Properties of Fluids

A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4 y from the top. When the tank is completely filled with water, the quantities of water flowing out per second from the two holes are the same. Then value of R is

Options

  1. AL 2
  2. B2 L
  3. CL 2
  4. DL 2

Correct answer

A. L 2

Step-by-step solution

By the principle of continuity A₁ v₁=A₂ v₂ According to question, A₁=L^2 aligned & v₁= 2 g y & and & A₂= R^2 & v₂= 2 g 4 y & L^2 2 g y = R^2 2 g 4 y & aligned or L^2=2 R^2 or R= L 2

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