Question

Spherical balls of radius $R$ are falling in a viscous fluid of velocity $v$. The retarding viscous force acting on the spherical ball is:(a) directly proportional to $R^{2}$ but inversely proportional to $v$ (b) directly proportional to both radius $R$ and velocity $v$ (c) inversely proportional to both radius $R$ and velocity $v^{3}$ (d) inversely proportional to $R$ but directly proportional to velocity $v$

Name: Problem 30, Chapter 7: Objective Physics : NEET 2020 Examination textbook Gurukul Oswal
Uploaded: 2021-10-05T06:05:23-08:00
Duration: 1 min 5 s
Channel: Suman Saurav Thakur
Description: Spherical balls of radius R are falling in a viscous fluid of velocity v. The retarding viscous force acting on the spherical ball is:(a) directly proportional to R^2 but inversely proportional to v (b) directly proportional to both radius R and velocity v (c) inversely proportional to both radius R and velocity v^3 (d) inversely proportional to R but directly proportional to velocity v

   Spherical balls of radius $R$ are falling in a viscous fluid of velocity $v$. The retarding viscous force acting on the spherical ball is:(a) directly proportional to $R^{2}$ but inversely proportional to $v$
(b) directly proportional to both radius $R$ and velocity $v$
(c) inversely proportional to both radius $R$ and velocity $v^{3}$
(d) inversely proportional to $R$ but directly proportional to velocity $v$

Objective Physics : NEET 2020 Examination textbook Gurukul Oswal

Gurukul Oswal… 2020 Edition

Chapter 7, Problem 30

Instant Answer

Solved by Expert Suman Saurav Thakur

10/05/2021

Step 1

According to Stokes' law, the viscous drag force $F$ is given by the formula: \[F = 6\pi\eta Rv\] where $\eta$ is the coefficient of viscosity, $R$ is the radius of the spherical ball, and $v$ is the velocity of the ball. Show more…

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Spherical balls of radius $R$ are falling in a viscous fluid of velocity $v$. The retarding viscous force acting on the spherical ball is:(a) directly proportional to $R^{2}$ but inversely proportional to $v$ (b) directly proportional to both radius $R$ and velocity $v$ (c) inversely proportional to both radius $R$ and velocity $v^{3}$ (d) inversely proportional to $R$ but directly proportional to velocity $v$

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Key Concepts

Stokes' Law

Stokes' Law describes the drag force experienced by a spherical object moving through a viscous fluid at low Reynolds numbers. According to this law, the force is directly proportional to the fluid's viscosity, the sphere's radius, and the object's velocity.

Viscous Drag

Viscous drag is the resistive force that opposes the motion of an object through a fluid. In the regime of low Reynolds numbers, this force is linearly dependent on both the velocity of the object and its characteristic dimension, such as the radius of a sphere.

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