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A small metal sphere falls down in a liquid with terminal velocity when the viscous force on it and its weight are in the ratio 2:5. Then the density of the sphere is 

a
Equal to that of the liquid
b
1.66 times  that of the liquid
c
2.5 times to that of the liquid
d
3 times that of the liquid

detailed solution

Correct option is B

condition for terminal velocity W= Fb+Fv   here  buoyant force Fb= W-Fv so Fb= 5F-2F =3F W= Vdsg =5F and  Fb=Vdlg=3F ds=53dl

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The terminal velocity of a small sized spherical body of radius r falling vertically in a viscous liquid is given by the following proportionality :


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