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Q.44

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1237

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Short Answer

Could a nucleus fission into two nuclei? Your answer, which should include some calculations, should be based on the curve of binding energy.

negative sign of energy indicates that the energy is absorbed in the reaction. But in the fission reactions, energy releases. Hence, with the release of energy, cannot undergo fission into two nuclei.

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Step by Step Solution

Step 1: Given Information

Here, is energy released in the fission reaction.

From the figure , plot binding energy per nucleon verse mass number given in the text book, the binding energy per nucleon for nucleus approximately is and the binding energy per nucleon for nucleus is .

The nucleus has nucleons, so the total binding energy of one nucleus is,

Total binding energy two nucleus is,

Step 2: Calculation

The amount of energy released in the nuclear reaction which involves a 56 nucleus fission into two nuclei is

Here, negative sign of energy indicates that the energy is absorbed in the reaction. But in the fission reactions, energy releases. Hence, with the release of energy, cannot undergo fission into two nuclei.

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