A body of density `d_(2)` is dropped from rest at a height `x` into a beaker having a liquid of density `d_(1)(d_(2)gtd_(1))`. Which of the following is/are true?

Options

A. The speed with which the body just enters the liquid is `sqrt(2gx)`
B. The body has an acceleration of `g(1-(d_(1))/(d_(2)))` downwards
C. The body does not come back to the surface of the liquid (observation made after a long time).
D. none

Answer

A, B, C

Explanation

`v^2-u^2=2as`
`impliesv^2=2gximpliesv=sqrt(2gx)`
`Vd_2g=Vd_1g=Vd_2a`
`impliesa=g[1-d_1/d_2]`
Since `d_2gtd_1,` the body sinks.