Physics Fluid Mechanics Velocity,Terminal Velocity and Coeficient of Viscocity,Viscocity of Fluids MCQ (Single Correct)

A metal ball (density ) is dropped in water while another metal ball (density ) is dropped in a liquid of density If both the balls have the same diameter and attain the same terminal velocity, the ratio of viscosity of water to that of the liquid is

A
2.0
B
0.5
C
4.0
D
Indeterminate due to insufficient data

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Text Solution

Verified by Experts
The correct answer is:
B

The terminal velocity of the body of radius r, density falling through a medium of density

is given by

Where is the coefficient of viscosity of the medium

… (1)

And ….. (2)

Where the subscripts and represent metal ball and metal ball respectively.

and (Given)

Substituting the given values, we get

Substituting the given values we get

( Density of water = 1g )

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