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KCET2024PhysicsMechanical Properties of Fluids

Water flows through a horizontal pipe of varying cross-section at a rate of 0.314 ~m ^3 ~s ⁻¹ . The velocity of water at a point where the radius of the pipe is 10 cm is

Options

  1. A0.1 ~ms ⁻¹
  2. B1 ~ms ⁻¹
  3. C10 ~ms ⁻¹
  4. D100 ~ms ⁻¹

Correct answer

C. 10 ~ms ⁻¹

Step-by-step solution

Given, flow rate, Q=0.314 ~m ^3 ~s ⁻¹r=10 ~cm =0.1 ~m =10⁻¹ ~m Since, Q=A v0.314= r^2 v0.314=314 10⁻² v v=10 ~m / s

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