छिद्र से जल की धारा का सैद्धांतिक वेग किसके द्वारा दिया गया है?

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JKSSB JE Civil Jal Shakti 6 Dec 2022 Official Paper (Shift 1)
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  1. \(\rm V=\sqrt{2gh}\)
  2. \(\rm V=\sqrt[3]{2gh}\)
  3. \(\rm V=\sqrt{2gh^2}\)
  4. \(\rm V=\sqrt[3]{2gh^2}\)

Answer (Detailed Solution Below)

Option 1 : \(\rm V=\sqrt{2gh}\)
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स्पष्टीकरण:

F2 M.J Madhu 26.05.20 D2

  • छिद्र की धुरी के माध्यम से डेटाम लेना और बर्नौली के समीकरण को बिंदु 1 और 2 पर लागू करना,
  • \(\frac{P_{1}}{\gamma}+\frac{V_{1}^2}{2g}+H=\frac{P_{2}}{\gamma}+\frac{V_{2}^2}{2g}+0 \) , चूंकि बिंदु 1 और 2 पर दबाव वायुमंडलीय है, पी 1 = पी 2 = 0 . इसके अलावा, यदि टैंक का क्रॉस-सेक्शनल क्षेत्र बहुत बड़ा है, तो बिंदु 1 पर तरल व्यावहारिक रूप से स्थिर है और इसलिए वी 1 = 0.

छिद्र से पानी की धारा का सैद्धांतिक वेग है

\(\frac{V_{2}^2}{2g} = H \,\,\,\,\Rightarrow \,\,\,V_{2} = \sqrt {2gH} \)

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