Which of following option correctly describes variation of speed v and acceleration 'a&#3

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9-1.Fluid Mechanics

medium

Which of the following option correctly describes the variation of the speed $v$ and acceleration $'a'$ of a point mass falling vertically in a viscous medium that applies a force $F = -kv,$ where $'k'$ is a constant, on the body? (Graphs are schematic and not drawn to scale)

(JEE MAIN-2016)

Solution

When a point mass is falling vertically in a viscous medium, the medium or viscous fluid exerts drag force on the body to oppose its motion and at one stage body falling with constant terminal velocity

Standard 11

Physics

Write $\mathrm{SI}$ and $\mathrm{CGS}$ unit of coefficient of viscosity.

medium

If a ball of steel (density $\rho=7.8 \;gcm ^{-3}$) attains a terminal velocity of $10 \;cms ^{-1}$ when falling in a tank of water (coefficient of viscosity $\eta_{\text {water }}=8.5 \times 10^{-4} \;Pa – s$ ) then its terminal velocity in glycerine $\left(\rho=12 gcm ^{-3}, \eta=13.2\right)$ would be nearly

medium

(AIEEE-2011)

Two drops of same radius are falling through air with steady velocity of $v $ $cm/s$. If the two drops coalesce, what would be the terminal velocity?

hard

The displacement of a ball falling from rest in a viscous medium is platted against time. Choose a possible option

medium

What is the velocity $v$ of a metallic ball of radius $r$ falling in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body ? (The densities of metal and of liquid are $\rho$ and $\sigma$ respectively, and the viscosity of the liquid is $\eta$).

hard

Which of the following option correctly describes the variation of the speed $v$ and acceleration $'a'$ of a point mass falling vertically in a viscous medium that applies a force $F = -kv,$ where $'k'$ is a constant, on the body? (Graphs are schematic and not drawn to scale)

Solution

Similar Questions

Write $\mathrm{SI}$ and $\mathrm{CGS}$ unit of coefficient of viscosity.

Two drops of same radius are falling through air with steady velocity of $v $ $cm/s$. If the two drops coalesce, what would be the terminal velocity?

The displacement of a ball falling from rest in a viscous medium is platted against time. Choose a possible option

What is the velocity $v$ of a metallic ball of radius $r$ falling in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body ? (The densities of metal and of liquid are $\rho$ and $\sigma$ respectively, and the viscosity of the liquid is $\eta$).

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