80 mm व्यास के साबुन के बुलबुले में पृष्ठीय तनाव ज्ञात करें, जिसका आंतरिक दाब बाहरी दाब से 3 N/m2 अधिक है।

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DDA JE Civil 01 Apr 2023 Shift 1 Official Paper
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  1. 0.03 N/m
  2. 0.08 N/m
  3. 0.01 N/m
  4. 0.24 N/m

Answer (Detailed Solution Below)

Option 1 : 0.03 N/m
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धारणा:

तरल के बूंद पर पृष्ठीय तनाव (गोलकार पानी की बूंद): बूंद के अंदर दबाव तीव्रता:

\(p = \frac{{4\sigma }}{d}\)

खोखले बुलबुले पर पृष्ठीय तनाव (साबुन का बुलबुला): बूंद के अंदर दबाव तीव्रता:

\(p = \frac{{8\sigma }}{d}\)

जहाँ σ तरल का पृष्ठीय तनाव है।

गणना:

\({\rm{\Delta }}P = \frac{{8\sigma}}{d}\)

\(\sigma = \frac{{\Delta P\times d}}{8 } =\frac{{3\times 0.080}}{8 }= 0.03 \; N/m\)

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