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Assertion : If two protons are brought n...

Assertion : If two protons are brought near one another, the potential energy of the system will increase.
Reason : The charge on the proton is `+1.6 xx10^(-19)C`

A

If both assertion and reason are true and the reason is the correct explanation of the assertion.

B

If both assertion and reason are true but reason is not the correct explanation of the assertion.

C

If assertion is true but reason is false.

D

If the assertion and reason both are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that if two protons are brought near one another, the potential energy of the system will increase. - Protons are positively charged particles, and when two like charges are brought closer together, they repel each other. 2. **Potential Energy of a System of Charges**: - The potential energy \( U \) of a system of two point charges \( q_1 \) and \( q_2 \) separated by a distance \( r \) is given by the formula: \[ U = k \frac{q_1 q_2}{r} \] - Here, \( k \) is Coulomb's constant, \( q_1 \) and \( q_2 \) are the charges, and \( r \) is the distance between them. 3. **Applying the Formula to Protons**: - For two protons, both charges are equal to \( +e \) (where \( e = 1.6 \times 10^{-19} \, C \)). - Thus, the potential energy when they are at a distance \( r \) is: \[ U = k \frac{e \cdot e}{r} = k \frac{e^2}{r} \] 4. **Effect of Decreasing Distance**: - As the two protons are brought closer together, the distance \( r \) decreases. - Since potential energy \( U \) is inversely proportional to \( r \), as \( r \) decreases, \( U \) increases. 5. **Conclusion on the Assertion**: - Therefore, the assertion is true: bringing two protons closer increases the potential energy of the system. 6. **Understanding the Reason**: - The reason states that the charge on the proton is \( +1.6 \times 10^{-19} \, C \). - While this statement is true, it does not provide a direct explanation for why the potential energy increases when two protons are brought closer. 7. **Final Evaluation**: - Both the assertion and the reason are true, but the reason does not explain the assertion adequately. Thus, the correct conclusion is that the assertion is true, and the reason is also true, but it is not the correct explanation for the assertion. ### Final Answer: - The correct option is that both the assertion and reason are true, but the reason is not the correct explanation of the assertion.

To solve the given question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that if two protons are brought near one another, the potential energy of the system will increase. - Protons are positively charged particles, and when two like charges are brought closer together, they repel each other. ...
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