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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Calculate the work done in blowing a soap bubble to a radius of 1 cm. The surface tension of soap solution is 2.5 × 10−2 N/m.

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प्रश्न

Calculate the work done in blowing a soap bubble to a radius of 1 cm. The surface tension of soap solution is 2.5 × 10−2 N/m.

संख्यात्मक
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उत्तर

Given:

T = 2.5 × 102 N/m, r1 = 0 m, r2 = 1 cm = 102 m, W = ?

Formula:

W = T dA 

= T (2 × 4π r2 − 0)

= T × 8 π r2

= 2.5 × 102 × 8 × π × (102)2

= 2.5 × 8 × 3.14 × (102)

= 6.275 × 105 J

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