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A spherical ball of radius R is floating...


A spherical ball of radius R is floating at the interface of two liquids with densities `rho` and `2rho`. The volumes of the ball immersed in two liquids are equal. Answer the following questions:
Find the force exerted by the liquid with density `2rho` on the ball

A

`piR^(2)rhog(H+(2R)/(3))`

B

`(2)/(3)piR^(2)rhog`

C

`(4)/(3)piR^(2)rhog`

D

`2piR^(2)rhog(H+(2R)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
`piR^(2)2Hrhog+(2)/(3)piR^(3)2rhog=F`
`2piR^(2)Hrhog+(4piR^(3)rhog)/(3)=F,2piR^(2)rhog(H+(2R)/(3))=F`
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