Q.44

Expert-verified
Found in: Page 1237

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# 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.

See the 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.