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A spherical solild of volume V is made o...

A spherical solild of volume V is made of a material of density `rho_(1)`. It is falling through a liquid of density `rho_(2)(rho_(2) lt rho_(1))`. Assume that the liquid applies a viscous froce on the ball that is proportional ti the its speed v, i.e., `F_(viscous)=-kv^(2)(kgt0)`. The terminal speed of the ball is

A

`sqrt((Vg(rho_(1)-rho_(2))/(k))`

B

`(Vgrho_(1))/(k)`

C

`sqrt((Vgrho_(1))/(k))`

D

`(Vg(rho_(1)-rho_(2))/(k))`

Text Solution

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The correct Answer is:
A
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