A solid sphere of mass m, suspended through a string in a liquid as shown. The string has some tension Magnitudes of net force due to liquid on upper hemisphere and that on lower hemisphere are `F_(A)` and `F_(B)` respectively. Which of the following is // are true.

Options

A. Density of material of the sphere is greater than density of liquid
B. Difference of `F_(B)` and `F_(A)` is dependent of atmoshperic pressure
C. `F_(B)-F_(A)=mg`
D. `F_(B)-F_(A) lt mg`

Answer

A, D

Explanation

There is some tension (say T)
`F_(A)` (downward) & `F_(B)` (upward)
`F_(B)+T=F_(A)+mg`
`:.F_(B)-F_(A)=mg-T`
`F_(B)-F_(A) lt mg`