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How much work is required to form a bubble of 2 cm radius from the soap solution having surface tension 0.07 N/m? - Physics

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Question

How much work is required to form a bubble of 2 cm radius from the soap solution having surface tension 0.07 N/m?

Sum
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Solution

Given:

r = 2 cm = 2 × 10-2 m,

T = 0.07 N/m

To find:

Work required to form a bubble

Solution:

Initial surface area of soap bubble = 0

Final surface area of soap bubble = 2 × 4πr2

∴ Increase in surface area = 2 × 4πr

The work done = surface tension × increase in surface area

= T × 2 × 4πr2

= 0.07 × 2 × 4 × 3.142 × (2 × 10-2)2

= 7.038 × 10-4 J

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Chapter 2: Mechanical Properties of Fluids - Exercises [Page 55]

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Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 2 Mechanical Properties of Fluids
Exercises | Q 22 | Page 55
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