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MHT CET202519 Apr 2025Evening ShiftPhysicsMechanical Properties of FluidsActual

Water is flowing steadily in a river. A and B are the two layers of water at heights 40 cm and 90 cm from the bottom. The velocity of the layer A is 12 ~cm / s . The velocity of the layer B is

Options

  1. A15 ~cm / s
  2. B21 ~cm / s
  3. C27 ~cm / s
  4. D36 ~cm / s

Correct answer

C. 27 ~cm / s

Step-by-step solution

A steady laminar flow exhibits a linear velocity profile where velocity v varies proportionally with height h from the bottom, giving v = kh with constant k . Given h_A = 40 cm and v_A = 12 cm/s , the velocity gradient is k = v_A h_A = 12 40 . For height h_B = 90 cm , velocity is v_B = kh_B = 12 40 90 = 27 cm/s . This corresponds to option C.

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