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Two soap bubbles of radii 3{mm} and 4{mm} confined in vacuum c

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Two soap bubbles of radii $3 mm$ and $4 mm$ confined in vacuum coalesce isothermally to form a new bubble. The radius of the bubble formed (in mm ) is

Name: Video solution 1: Two soap bubbles of radii 3mm and 4mm confined in vacuum coalesce isothermally to form a new bubble. The radius of the bubble formed (in mm ) is
Uploaded: 2022-05-24T17:29:10.000Z
Duration: 2 min
Description: Video solution 1: Two soap bubbles of radii 3mm and 4mm confined in vacuum coalesce isothermally to form a new bubble. The radius of the bubble formed (in mm ) is

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Updated on: May 24, 2022

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Elijah Discussed

Two soap bubbles of radii

3 mm

and

4 mm

confined in vacuum coalesce isothermally to form a new bubble. The radius of the bubble formed (in mm ) is

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Surface area of new bubble = surface area of first bubble + surface area of second bubble

\Rightarrow A = A_{1} + A_{1}

∵

Surface area of a bubble,

A = 8 π R^{2}

∴ 8 π R^{2} = 8 π R_{1}^{2} + 8 π R_{2}^{2}

\Rightarrow R^{2} = R_{1}^{2} + R_{2}^{2}

(given that

R_{1} = 3 mm, R_{2} = 4 mm

)

\Rightarrow R^{2} = (3)^{2} + (4)^{2}

\Rightarrow R = 5 mm

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Question Text	Two soap bubbles of radii $3 mm$ and $4 mm$ confined in vacuum coalesce isothermally to form a new bubble. The radius of the bubble formed (in mm ) is
Updated On	May 24, 2022
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	199
Avg. Video Duration	2 min

Two soap bubbles of radii $3 mm$ and $4 mm$ confined in vacuum coalesce isothermally to form a new bubble. The radius of the bubble formed (in mm ) is

Text solutionVerified

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Two soap bubbles of radii $3 mm$ and $4 mm$ confined in vacuum coalesce isothermally to form a new bubble. The radius of the bubble formed (in mm ) is