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A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the Binding Energy in the process is :
  • a)
    216 MeV
  • b)
    0.9 MeV
  • c)
    9.4 MeV
  • d)
    804 MeV
Correct answer is option 'A'. Can you explain this answer?
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A nucleus with mass number 240 breaks into two fragments each of mass ...
Given Data:
Mass number of unfragmented nucleus (A) = 240
Mass number of each fragment (A1 and A2) = 120
Binding energy per nucleon of unfragmented nuclei (BE/A) = 7.6 MeV
Binding energy per nucleon of fragments (BE/A1 and BE/A2) = 8.5 MeV

Calculations:
- Total binding energy of unfragmented nucleus = A * (BE/A) = 240 * 7.6 = 1824 MeV
- Total binding energy of fragments = (A1 * BE/A1) + (A2 * BE/A2) = (120 * 8.5) + (120 * 8.5) = 2040 MeV
- Total gain in binding energy = Total binding energy of fragments - Total binding energy of unfragmented nucleus = 2040 - 1824 = 216 MeV
Therefore, the total gain in the Binding Energy in the process is 216 MeV. Hence, option 'A' is correct.
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A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the Binding Energy in the process is :a)216 MeVb)0.9 MeVc)9.4 MeVd)804 MeVCorrect answer is option 'A'. Can you explain this answer?
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A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the Binding Energy in the process is :a)216 MeVb)0.9 MeVc)9.4 MeVd)804 MeVCorrect answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the Binding Energy in the process is :a)216 MeVb)0.9 MeVc)9.4 MeVd)804 MeVCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the Binding Energy in the process is :a)216 MeVb)0.9 MeVc)9.4 MeVd)804 MeVCorrect answer is option 'A'. Can you explain this answer?.
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