A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity. After some time the velocity of the ball attains a constant value known as terminal velocity
The terminal velocity depends on (i) the mass of the ball. (ii)
(iii) r and (iv) acceleration due to gravity g. which of the following relations is dimensionally correct
Text Solution
Verified by ExpertsA
Given
= terminal velocity =
, m = Mass = [ M ], g =
Acceleration due to gravity = 
r = Radius = [ L ],
= Coefficient of viscosity = 
By substituting the dimension of each quantity we can check the accuracy of given formula 
= 
L.H.S. = R.H.S. i.e., the above formula is Correct .
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