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The binding energy for the following nuclear reactions are expressed in MeV. ₂ He ³+ ₀ n ¹ ₂ He ⁴+20 MeV ₂ He ⁴+ ₀ n ¹ ₂ He ⁵-0.9 MeV If X ₃, X ₄, X ₅ denote the stability of ₂ He ³, ₂ He ⁴ and ₂ He ⁵ , respectively, then the correct order is :

Options

  1. AX ₄< X ₅< X ₃
  2. BX ₄> X ₅> X ₃
  3. CX ₄> X ₅< X ₃
  4. DX ₄= X ₅= X ₃

Correct answer

B. X ₄> X ₅> X ₃

Step-by-step solution

BE_ He^4 - BE_ He^3 = 20 MeV ...(1) BE_ He^5 - BE_ He^4 = -0.9 MeV ...(2) From eq (1) & (2) BE_ He^4 > BE_ He^5 > BE_ He^3 X₄ > X₅ > X₃

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