Q.

The viscous drag acting on a metal sphere of diameter 1 mm, falling through a fluid of viscosity 0.8 Pa  with a velocity of 2 ms-1 is equal to :

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a

15×103N

b

20×103N

c

30×103N

d

1.5×103N

answer is A.

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Detailed Solution

According to Stoke’s law, viscous force acting on a spherical body moving with a velocity ‘v’ in a liquid of coefficient of viscosity. η is
Fv=6πηrv
Where r is the radius of the sphere.
Fv=6πηrv=6π(0.8)(103)2=9.6π×103=30×103N.

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The viscous drag acting on a metal sphere of diameter 1 mm, falling through a fluid of viscosity 0.8 Pa  with a velocity of 2 ms-1 is equal to :