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A sphere of radius R and density rho1 is...

A sphere of radius R and density `rho_1` is dropped in a liquid of density `sigma`. Its terminal velocity is `v_1`. If another sphere of radius `R` and density `rho_2` is dropped in the same liquid, its terminal velocity will be:

A

`((P_1-sigma)/(P_2-sigma))v_1`

B

`((P_1)/(P_2))v_1`

C

`((P_2)/(P_1))v_1`

D

`((P_2-sigma)/(P_1-sigma))v_1`

Text Solution

Verified by Experts

The correct Answer is:
B
For sphere A, (by Stoke's law)
`6pietaRv_1=mg=4/3piR^3(rho_2-sigma)`
`:." "(v_2)/(v_1)=(rho_2-sigma)/(rho_1-sigma)" ":." "v_2=[(rho_2-sigma)/(rho_1-sigma)]v_1`
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