24 सेमी जाडी असलेल्या विटांच्या भिंतीच्या आतील पृष्ठभागाचे तापमान 25°C आणि बाह्य पृष्ठभागाचे तापमान 5°C आहे. तर भिंतीच्या प्रति चौरस मीटरमधून उष्णता कमी होण्याचा दर (औष्णिक वाहकता = 0.15 ज्यूल/ (s⋅m⋅k)) आहे:

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RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 1)
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  1. 20.0 ज्यूल/सेकंद
  2. 18.2 ज्यूल/सेकंद 
  3. 12.5 ज्यूल/सेकंद
  4. 23.0 ज्यूल/सेकंद

Answer (Detailed Solution Below)

Option 3 : 12.5 ज्यूल/सेकंद
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Detailed Solution

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योग्य उत्तर 12.5 J/s आहे.​

संकल्पना:

  • फूरियरच्या नियमानुसार, एकसंध घनतेतून उष्णतेच्या प्रवाहाचा दर Q, हे क्षेत्र A च्या थेट प्रमाणात असते, उष्णतेच्या प्रवाहाच्या दिशेने विभागाच्या काटकोनातील आणि उष्णतेच्या मार्गावरील तापमानातील फरक dT आहे. 

Q = - KA dT/dX

दिले आहे:

  • उष्णता कमी होण्याचा दर = K = 0.15
  • तापमान फरक = dT = 25 - 5 = 20°C
  • dX = 24 सेमी = 0.24 मी 
  • क्षेत्रफळ (प्रति मीटर चौरस विचारले आहे) = 1 मी2

स्पष्टीकरण​:-

  • Q = - KA dT/dX
  • = 0.15 x 1 x 20 / 0.24
  • = 12.5 ज्यूल/सेकंद

 

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