A ball of radius r and density ρ falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is η, the value of h is given by -

Engineering

Physics

Straight Line Motion

Buoyancy

Viscosity and Terminal Velocity New

Question

A ball of radius r and density ρ falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is η, the value of h is given by -

$\frac{2}{9} r^{2} (\frac{ρ - ρ_{w}}{η}) g$

$\frac{2}{81} r^{2} (\frac{ρ - ρ_{w}}{η}) g$

$\frac{2}{9} r^{4} {(\frac{ρ - ρ_{w}}{η})}^{2} g$

$\frac{2}{81} r^{4} {(\frac{ρ - ρ_{w}}{η})}^{2} g$

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$y_{T} = \frac{r}{9} \frac{g (\frac{p}{ρ_{w}})}{η}$