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Statement-1:In a nuclear reaction energy...

Statement-1:In a nuclear reaction energy is released , if total binding energy is increasing.
Statement-2:For a stability of a nucleus, total binding energy is more important than binding energy per nucleon.
Statement-3:Nuclear force is different for different nucleons and it dependent on charge .

A

TFT

B

FFF

C

TTF

D

TFF

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, let's break them down one by one and evaluate their validity. ### Step 1: Evaluate Statement 1 **Statement 1:** In a nuclear reaction, energy is released if total binding energy is increasing. - **Explanation:** In nuclear reactions, the binding energy is a measure of how much energy is required to disassemble a nucleus into its constituent protons and neutrons. When a nuclear reaction occurs (like fission or fusion), if the total binding energy of the products is greater than that of the reactants, energy is released. This is because the system moves to a more stable state with higher binding energy, which corresponds to a release of energy according to the mass-energy equivalence principle (E=mc²). Therefore, this statement is **true**. ### Step 2: Evaluate Statement 2 **Statement 2:** For stability of a nucleus, total binding energy is more important than binding energy per nucleon. - **Explanation:** The stability of a nucleus is often assessed by the binding energy per nucleon rather than the total binding energy. A higher binding energy per nucleon indicates that the nucleons are more tightly bound, which generally leads to greater stability. Total binding energy can be misleading since larger nuclei may have a higher total binding energy but lower binding energy per nucleon. Thus, this statement is **false**. ### Step 3: Evaluate Statement 3 **Statement 3:** Nuclear force is different for different nucleons and it is dependent on charge. - **Explanation:** The nuclear force, which binds protons and neutrons together in the nucleus, is a strong force that acts equally among all nucleons (protons and neutrons). It does not depend on the charge of the nucleons; rather, it is a short-range force that is approximately the same for all nucleons. Therefore, this statement is also **false**. ### Conclusion - **Statement 1:** True - **Statement 2:** False - **Statement 3:** False The correct option is that Statement 1 is true, while Statements 2 and 3 are false. ---
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