A solid steel ball of diameter 3.6 mm acquired terminal velocity 
while falling under gravity through an oil of density 
. Take density of steel as 
and g as 
. The viscosity of the oil in SI unit is
Text Solution
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To determine the viscosity of the oil, we use the formula for the terminal velocity of a sphere falling through a viscous fluid:
Where:
is the terminal velocity,
is the density of the steel ball,
is the density of the fluid,
is the radius of the ball,
is the acceleration due to gravity,
is the viscosity of the fluid.
Given:
Diameter of the steel ball 
, therefore radius 
, Terminal velocity 
,
Density of oil 
,
Density of steel 
,
Acceleration due to gravity 
.
Rearranging the formula to solve for 
:
Substituting the known values into the equation:
Calculating this, we approximate the viscosity 
to be:
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