500 kW/m2 के ऊर्जा प्रवाह के साथ प्रकाश 10 cm की त्रिज्या के साथ एक गैर-प्रतिबिंबित गोलाकार पृष्ठ पर सामान्य घटना पर 5 min तक गिरता है। इस पृष्ठ पर प्रदत्त कुल संवेग का परिमाण ______ है।

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  1. 5π × 10-3 kg m s-1
  2. 7.5 π × 10-3 kg m s-1
  3. 25 π × 10-3 kg m s-1
  4. 8.3 π × 10-3 kg m s-1

Answer (Detailed Solution Below)

Option 1 : 5π × 10-3 kg m s-1
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Detailed Solution

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दिया गया है:

\(Time=5minutes=300s\) ,

\(Radius(r)\text{ of a circular surface }=10cm=10\times10^{-2}=10^{-1}m\)

\(\text{ Energy Flux }, S=500kW/m^2=500\times10^3W/m^2\)

अवधारणा:

प्रति इकाई समय में तरंग के लंबवत तल से गुजरने वाली प्रति इकाई क्षेत्र की ऊर्जा को विद्युत फ्लक्स कहा जाता है, जिसे द्वारा निरूपित किया जाता है। 

  • \(S=\frac{E}{tA}=\frac{E}{\pi r^2t}\)
  • \(E=S.\pi r^2.t\)
  • संवेग \(p=\frac{E}{c}\)

स्पष्टीकरण:

  • \(E=S.\pi r^2.t=500\times10{^3}\times 300 \times \pi \times(10^{-1})^2 \)
  • \(E=15\pi\times10^5J\)

 

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 है। 

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