Two metal balls of densities ‘d’ and ‘3d’ and radii r1 and ‘r2’ are travelling in the same liquid. The density of the liquid is ‘d/2’. The ratio of their terminal velocities is 4:5 respectively. Then the ratio of their radii is
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a
5:12
b
4:5
c
2:1
d
3:4
answer is C.
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Detailed Solution
terminal velocity v =2r2ds-dlg9ηv1v2=r12r22d-d23d-d2 =45r12r22=4551=4⇒r1r2=2