Q87 / 90 · JEE Main 2014 (19 Apr Online) · Physics

The velocity of water in a river is 18 km h-1 near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water=10-2 poise.

  • A
    10-4 N m-2
  • Correct answer
    B
    10-3 N m-2
  • C
    10-2 N m-2
  • D
    10-1 N m-2

Solution

Viscous force =Fv=-ηA·dvdh

=10-3×A×18×10003600×5 ,   η=10-2 poiseη=10-3 decapoise mks

∴ FvA=185×3600=1200×5

⇒FvA=10-3 N m-2

Hence, the correct answer is option: 'B'.

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