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STATEMENT-1 Positive potential energy me...

STATEMENT-1 Positive potential energy means that a positive work will be done on the body by the conservative force while returning to its reference position.
STATEMENT-2 The absolute value of potential energy depends on reference.

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements given in the question, we will evaluate each statement separately and determine their validity. ### Step 1: Analyze Statement 1 **Statement 1:** Positive potential energy means that a positive work will be done on the body by the conservative force while returning to its reference position. - **Explanation:** Potential energy (PE) is defined in the context of conservative forces, such as gravitational or elastic forces. When a body is displaced in a conservative field, the work done by the conservative force when the body returns to its reference position is equal to the negative change in potential energy. If the potential energy is positive, it indicates that work done by the conservative force will indeed be positive when the body moves back to the reference position. Thus, this statement is true. ### Step 2: Analyze Statement 2 **Statement 2:** The absolute value of potential energy depends on reference. - **Explanation:** The potential energy of a system is relative and depends on the choice of the reference point (or zero level). For example, gravitational potential energy is given by the formula \( PE = mgh \), where \( h \) is the height above a chosen reference level. Changing the reference level changes the calculated value of potential energy, although the physical situation remains the same. Therefore, this statement is also true. ### Step 3: Conclusion - Both statements are true. - However, Statement 2 does not provide a correct explanation for Statement 1. While both statements are valid, the relationship between them does not imply that one explains the other. ### Final Answer: - Both Statement 1 and Statement 2 are true, but Statement 2 is not the correct explanation for Statement 1.
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