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Mechanical Properties of Fluids

Terminal velocity

Two spherical rain drops with radii in the ratio 1:2 fall from

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Two spherical rain drops with radii in the ratio $1 : 2$ fall from a great height through the atmosphere. The ratio of their momenta after they have attained terminal velocity is

Name: Video solution 1: Two spherical rain drops with radii in the ratio 1:2 fall from a great height through the atmosphere. The ratio of their momenta after they have attained terminal velocity is
Uploaded: 2023-01-11T18:31:56.000Z
Duration: 12 min
Description: Video solution 1: Two spherical rain drops with radii in the ratio 1:2 fall from a great height through the atmosphere. The ratio of their momenta after they have attained terminal velocity is

1 : 8

2 : 1

1 : 32

1 : 2

1 : 16

Views: 6,608 students

Updated on: Jan 11, 2023

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Two spherical rain drops with radii in the ratio

1 : 2

fall from a great height through the atmosphere. The ratio of their momenta after they have attained terminal velocity is

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Text solutionVerified

Given,

r_{1} : r_{2} = 1 : 2

We know that,

v \propto r^{3}

and

m \propto r^{3}

\frac{v _{1}}{v _{2}} = (\frac{r _{1}}{r _{2}})^{3}

and

\frac{m _{1}}{m _{2}} = (\frac{r _{1}}{r _{2}})^{3}

We also know that momentum

p \propto m v

Hence,

\frac{p _{1}}{p _{2}} = \frac{m _{1} v _{1}}{m _{2} v _{2}} = (\frac{r _{1}}{r _{2}})^{5}

\frac{p _{1}}{p _{2}} = (\frac{1}{2})^{5}

p_{1} : p_{2} = 1 : 32

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Question Text	Two spherical rain drops with radii in the ratio $1 : 2$ fall from a great height through the atmosphere. The ratio of their momenta after they have attained terminal velocity is
Updated On	Jan 11, 2023
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	313
Avg. Video Duration	10 min

Two spherical rain drops with radii in the ratio $1 : 2$ fall from a great height through the atmosphere. The ratio of their momenta after they have attained terminal velocity is

Text solutionVerified

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