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BITSAT2015PhysicsMechanical Properties of FluidsActual

Water is flowing on a horizontal fixed surface, such that its flow velocity varies with y (vertical direction) as v=k ( 2 y² a² - y³ a³ ) . If coefficient of viscosity for water is , what will be shear stress between layers of water at y=a .

Options

  1. Ak a
  2. Bk a
  3. Ca k
  4. DNone of these

Correct answer

A. k a

Step-by-step solution

Newton's law of viscosity, F= A d v d y array l Stress = F A = ( d v d y )= k ( 4 y a² - 3 y² a³ ) At y=a, stress = k ( 4 a - 3 a )= k a array

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