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Hydrogen nucleus combines to form helium...

Hydrogen nucleus combines to form helium then energy is released.
Binding energy/nucleon of `He` is greater than hydrogen.

A

If both A and R are true and R is the correct explanation of A.

B

If both A and R are true but R is not the correct explanation of A.

C

If A is true but R is false

D

If A is false but R is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided in the statement. ### Step-by-step Solution: 1. **Understanding the Assertion**: - The assertion states that hydrogen nuclei combine to form helium and that energy is released in the process. This is a reference to nuclear fusion, which occurs in stars, including our sun. - In the fusion process, hydrogen isotopes (like deuterium and tritium) can combine to form helium. The reaction can be simplified as: \[ 2 \, ^1H + 2 \, ^1H \rightarrow \, ^4He + 24.9 \, \text{MeV} \] - This indicates that when two hydrogen nuclei fuse, they release energy (24.9 MeV). 2. **Understanding the Reason**: - The reason states that the binding energy per nucleon of helium is greater than that of hydrogen. - Binding energy per nucleon is a measure of the stability of a nucleus. A higher binding energy per nucleon indicates a more stable nucleus. - Helium, being a heavier nucleus with two protons and two neutrons, has a higher binding energy per nucleon compared to hydrogen, which consists of a single proton. 3. **Evaluating the Truth of the Statements**: - Both the assertion and the reason are true. - The assertion is true because energy is indeed released when hydrogen nuclei fuse to form helium. - The reason is also true because helium has a higher binding energy per nucleon than hydrogen, which explains why energy is released during the fusion process. 4. **Conclusion**: - Since both the assertion and the reason are true, and the reason correctly explains the assertion, we conclude that the correct answer is: - Both A and R are true, and R is the correct explanation of A. ### Final Answer: Both A and R are true, and R is the correct explanation of A.

To solve the question, we need to analyze the assertion and the reason provided in the statement. ### Step-by-step Solution: 1. **Understanding the Assertion**: - The assertion states that hydrogen nuclei combine to form helium and that energy is released in the process. This is a reference to nuclear fusion, which occurs in stars, including our sun. - In the fusion process, hydrogen isotopes (like deuterium and tritium) can combine to form helium. The reaction can be simplified as: \[ ...
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Knowledge Check

  • Binding energy of a nucleus is of the order of:

    A
    electron volt (eV)
    B
    kilo electron volt (keV)
    C
    mega electron volt (MeV)
    D
    a joule (J)
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