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
Text Solution
Verified by ExpertsB
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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