Question

Two indentical cylinders have a hole of radius a `(aleleR)` at its bottom a ball of radius R is kept on the hole and water is filled in the cylinder sucj that there is no water leakage from bottom in case1 water is filled upto height h and in second case it is filled upto height 2h if `F_(1)` is net force by liquid on sphere in case1 and `F_(2)` is net force by liquid on sphere in case-2 then

A. `F_(1) = F_(2) = 0`
B. `F_(1) ge F_(2)`
C. `F_(2)geF_(1)`
D. `F_(1)=F_(2)ne0`

Answer 1

Correct Answer - B
`F_(1) = F_(B)-(pia^(2))rhogh`
`F_(2) = F_(B)-(pia^(2))rhog(2h)`