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Q.

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-dlg9η

v1v2=r12r22d-d23d-d2 =45

r12r22=4551=4⇒r1r2=2
 

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