A spherical ball of radius 1 c m and density 4 × 10 3 kg m - 3 is dropped gently in a large container containing a viscous liquid of density 2 × 10 3 kg m - 3 , and η = 0 .1 N s m - 2 . The distance moved by the ball in t = 0 .1 s after it attains terminal velocity is

Once the body acquires the terminal velocity it will have uniform motion. v t = 2 9 r 2 η ρ - σ g , down v t = 40 9 m s - 1 , down Distance travelled = 40 9 × 0 .1 = 4 9 m

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PhysicsFluidViscosityEasy2 minPYQ_2020

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A spherical ball of radius $1 c m$ and density $4 \times 10^{3} kg m^{- 3}$ is dropped gently in a large container containing a viscous liquid of density $2 \times 10^{3} kg m^{- 3}$ , and $η = 0 .1 N s m^{- 2}$ . The distance moved by the ball in $t = 0 .1 s$ after it attains terminal velocity is

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Answer:

Solution:

Once the body acquires the terminal velocity it will have uniform motion.

$v_{t} = \frac{2}{9} \frac{r^{2}}{η} [(ρ - σ) g]$ , down

$v_{t} = \frac{40}{9} m s^{- 1}$ , down

Distance travelled $= \frac{40}{9} \times 0 .1 = \frac{4}{9} m$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:FluidSubtopic:Viscosity

⏱ 2mℹ️ Source: PYQ_2020

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