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Q.

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

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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

answer is B.

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Detailed Solution

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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