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A soap bubble of radius R is surrounded by another soap bubble

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A soap bubble of radius $R$ is surrounded by another soap bubble of radius $2 R$ , as shown. Take surface tension $= S$ . Then, the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be

Name: Video solution 1: A soap bubble of radius R is surrounded by another soap bubble of radius 2R, as shown. Take surface tension =S. Then, the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be
Uploaded: 2023-04-21T17:12:44.000Z
Duration: 1 min
Description: Video solution 1: A soap bubble of radius R is surrounded by another soap bubble of radius 2R, as shown. Take surface tension =S. Then, the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be

4 S / R

3 S / R

6 S / R

none of these

Views: 5,880 students

Updated on: Apr 21, 2023

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Mateo Discussed

A soap bubble of radius

R

is surrounded by another soap bubble of radius

2 R

, as shown. Take surface tension

= S

. Then, the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Excess pressure inside bubble of radius

R

= P_{1} - P_{2} = \frac{4 S}{R} \dots (1)

Excess pressure inside bubble of radius

2 R = P_{2} - P_{atm} = \frac{4 S}{2 R} \dots

(2) Addin (1) and (2)

P_{1} - P_{2} + P_{2} - P_{atm} = P_{1} - P_{atm} = \frac{4 S}{R} + \frac{4 S}{R} = \frac{4 S}{R}

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Question Text	A soap bubble of radius $R$ is surrounded by another soap bubble of radius $2 R$ , as shown. Take surface tension $= S$ . Then, the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be
Updated On	Apr 21, 2023
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	264
Avg. Video Duration	4 min

A soap bubble of radius $R$ is surrounded by another soap bubble of radius $2 R$ , as shown. Take surface tension $= S$ . Then, the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be

Text solutionVerified

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A soap bubble of radius R is surrounded by another soap bubble of radius 2R, as shown. Take surface tension =S. Then, the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be

Text solutionVerified

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A soap bubble of radius $R$ is surrounded by another soap bubble of radius $2 R$ , as shown. Take surface tension $= S$ . Then, the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be