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A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.
- a)200 MeV
- b)-220 MeV
- c)220 MeV
- d)180 MeV
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A heavy nucleus having mass number 200 gets disintegrated into two sma...
Energy released
= (80 × 7 + 120 × 8 – 200 × 6.5)
= 220 MeV
Most Upvoted Answer
A heavy nucleus having mass number 200 gets disintegrated into two sma...
The total mass of the nucleus before decay is:
M1 = 200 × 1.6605 × 10^-27 kg/u = 3.321 × 10^-25 kg
The total mass of the two daughter nuclei after decay is:
M2 = (80 × 1.6605 × 10^-27 kg/u) + (120 × 1.6605 × 10^-27 kg/u) = 1.9926 × 10^-25 kg
The mass difference between the two states is:
ΔM = M1 - M2 = 1.3284 × 10^-25 kg
Using Einstein's famous formula E = mc^2, we can calculate the energy released in the decay:
E = ΔM × c^2 = 1.3284 × 10^-25 kg × (3 × 10^8 m/s)^2 = 1.1956 × 10^-8 J
Converting to MeV, we get:
1.1956 × 10^-8 J ÷ 1.6022 × 10^-13 J/MeV = 74.7 MeV
However, we have to take into account the binding energy per nucleon for the parent and daughter nuclei. The total binding energy of the parent nucleus is:
BE1 = 200 × 6.5 MeV = 1300 MeV
The total binding energy of the two daughter nuclei is:
BE2 = (80 × 7 MeV) + (120 × 8 MeV) = 1760 MeV
Therefore, the energy released in the decay is:
X = (BE1 - BE2) + 74.7 MeV = (1300 MeV - 1760 MeV) + 74.7 MeV = -385.3 MeV
The negative sign indicates that energy is released in the decay. The value of X is -385.3 MeV.
M1 = 200 × 1.6605 × 10^-27 kg/u = 3.321 × 10^-25 kg
The total mass of the two daughter nuclei after decay is:
M2 = (80 × 1.6605 × 10^-27 kg/u) + (120 × 1.6605 × 10^-27 kg/u) = 1.9926 × 10^-25 kg
The mass difference between the two states is:
ΔM = M1 - M2 = 1.3284 × 10^-25 kg
Using Einstein's famous formula E = mc^2, we can calculate the energy released in the decay:
E = ΔM × c^2 = 1.3284 × 10^-25 kg × (3 × 10^8 m/s)^2 = 1.1956 × 10^-8 J
Converting to MeV, we get:
1.1956 × 10^-8 J ÷ 1.6022 × 10^-13 J/MeV = 74.7 MeV
However, we have to take into account the binding energy per nucleon for the parent and daughter nuclei. The total binding energy of the parent nucleus is:
BE1 = 200 × 6.5 MeV = 1300 MeV
The total binding energy of the two daughter nuclei is:
BE2 = (80 × 7 MeV) + (120 × 8 MeV) = 1760 MeV
Therefore, the energy released in the decay is:
X = (BE1 - BE2) + 74.7 MeV = (1300 MeV - 1760 MeV) + 74.7 MeV = -385.3 MeV
The negative sign indicates that energy is released in the decay. The value of X is -385.3 MeV.
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A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer?
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A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer?.
A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer?.
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A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for a parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is X × 110 MeV. Find the value of X.a)200 MeVb)-220 MeVc)220 MeVd)180 MeVCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
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