A spherical solid ball of volume V is made of a material of density ρ ₁. It is falling through a liquid of density ρ ₂(ρ ₂ 0). The terminal speed of the ball is

(A) √((Vg(ρ ₁ - ρ ₂))/k)

Properties of Solids and Liquids: JEE Main 2008 Physics question

JEE Main 2008 · Annual, Paper 1 · Q7893

JEE Main 2008Annual, Paper 1PhysicsMediumProperties of Solids and Liquids184× since 2002

A spherical solid ball of volume

V

is made of a material of density

{\rho _1}

. It is falling through a liquid of density

{\rho _2}\left( {{\rho _2} < {\rho _1}} \right)

. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed

v,

i.e.,

{F_{viscous}} = - k{v^2}\left( {k > 0} \right).

The terminal speed of the ball is

JEE Main 2008 Properties of Solids and Liquids Question with Solution (Annual Paper 1, Q7893) | JEE Arc