Question

A ball of density sigma and radius r is dropped on the surface of a liquid of density rho from certain height if speed of ball does not change even on entering in the liquid

Answer 1

your question is incomplete . A complete question is ----> A ball of density $\sigma$ and radius R is dropped on the surface of a liquid of density ρ from a certain height. if speed of ball does not change even on entering in liquid and viscosity of liquid is η, then the Height from which ball drop is ?

solve :- use formula,
$\bf{v_T=\frac{2}{9}\frac{r^2g}{\eta}(\sigma-\rho)}$
where $v_T$ terminal velocity of ball,

Let h is the height from which ball drops .
so, v² = u² + 2as
h = v²/2g
= $\frac{v_T^2}{2g}$

= $2g\left[\frac{r^2}{9\eta}(\sigma-\rho)\right]^2$

Answer 2

Answer:

your question is incomplete . A complete question is ----> A ball of density  and radius R is dropped on the surface of a liquid of density ρ from a certain height. if speed of ball does not change even on entering in liquid and viscosity of liquid is η, then the Height from which ball drop is ?

solve :- use formula,

where  terminal velocity of ball,

Let h is the height from which ball drops .

so, v² = u² + 2as

h = v²/2g

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