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JEE Mains · Physics · STD 12 - 13. Nuclei

दिया है \({ }_{3}^{7} Li\) का द्रव्यमान \(=7.0160\, u\), \({ }_{2}^{4} He\) का द्रव्यमान \(=4.0026\, u\) तथा \({ }_{1}^{1} H\) का द्रव्यमान \(=1.0079 \,u\). जब \(20 \,g { }_{3}^{7} Li\) को प्रोटॉन अभिग्रहण द्वारा \({ }_{2}^{4} He\) में बदला जाता है तो, \(kWh\) में मुक्त ऊर्जा है? [Mass of nucleon \(=1 \,GeV / c ^{2}\) ]

  1. A \(8 \times 10^{6}\)
  2. B \(1.33 \times 10^{6}\)
  3. C \(6.82 \times 10^{5}\)
  4. D \(4.5 \times 10^{5}\)
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Answer & Solution

Correct Answer

(B) \(1.33 \times 10^{6}\)

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Detailed explanation

\({ }_{3}^{7} Li +{ }_{1}^{1} H \rightarrow 2\left({ }_{2}^{4} He \right)\) \(\Delta m \Rightarrow\left[ m _{ Li }+ m _{ H }\right]-2\left[ M _{ He }\right]\) Energy released in \(1\) reaction \(\Rightarrow \Delta mc ^{2}\) In use of \(7.016\, u\) \(Li\) energy is…
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