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Assertion : When two masses come closer,...

Assertion : When two masses come closer, their gravitational potential energy decreases.
Reason : In moving attract each other.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explantion of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that when two masses come closer, their gravitational potential energy decreases. - The formula for gravitational potential energy (U) between two masses (m1 and m2) separated by a distance (r) is given by: \[ U = -\frac{G m_1 m_2}{r} \] - Here, G is the gravitational constant. 2. **Analyzing the Effect of Distance on Potential Energy**: - As the two masses come closer, the distance (r) between them decreases. - When r decreases, the absolute value of U (which is negative) becomes larger in magnitude (less negative). - This indicates that the gravitational potential energy is increasing (becoming less negative), which means it is decreasing in terms of energy value. 3. **Conclusion about the Assertion**: - Therefore, the assertion is true: When two masses come closer, their gravitational potential energy decreases. 4. **Understanding the Reason**: - The reason states that in moving, the masses attract each other. - This is a true statement as gravitational forces cause masses to attract each other, leading to a decrease in the distance between them. 5. **Evaluating the Relationship between Assertion and Reason**: - While both the assertion and reason are true, the reason does not provide a correct explanation for the assertion. - The reason describes the phenomenon of attraction but does not explain why the gravitational potential energy decreases when the masses come closer. 6. **Final Conclusion**: - The correct option is: Both Assertion and Reason are true, but the Reason is not the correct explanation for the Assertion. ### Final Answer: Both Assertion and Reason are true, but Reason is not the correct explanation for the Assertion. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that when two masses come closer, their gravitational potential energy decreases. - The formula for gravitational potential energy (U) between two masses (m1 and m2) separated by a distance (r) is given by: \[ ...
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