A ball of radius 
and density 
dropped through a viscous liquid of density 
and viscosity 
attains its terminal velocity at time 
, given by 
, where 
is a constant and 
and 
are integers. The value of 
is 
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(1) Using dimensional analysis on 
:
the dimensions are 
.
Expanding: 
.
Comparing powers: For T: 
, giving 
.
For M: 
, so 
.
For L: 
, giving 
.
Therefore 
.
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