Two small spherical metal balls, having equal masses, are made from materials of densities 
and 
and have radii of 1 mm and 2 mm, respectively. They are made to fall vertically (from rest) in viscous medium whose coefficient of viscosity equals 
and whose density is 
. The ratio of their terminal velocities would be [NEET 2019]
Text Solution
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The terminal velocity achieved by ball in a viscous fluid is
where, 
density of metal of ball,
density of viscous medium,
radius of ball and
coefficient of viscosity of medium
Terminal velocity of first ball,
… (i)
Similarly, for second ball
… (ii)
From Eq. (i) and (ii), we get
… (iii)
Here, 
and 
Substituting these values in Eq. (iii), we get
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