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A : The potential energy can be defined ...

A : The potential energy can be defined only in conservative field.
R : The value of potential energy depends on the reference level (level of zero potential energy).

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

C

If Assertion is true statement but Reason is false, then mark (3).

D

If both Assertion and Reason are falsė statements, then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion (A) and the reason (R) provided. ### Step 1: Understand the Assertion (A) The assertion states that "The potential energy can be defined only in a conservative field." - **Explanation**: A conservative field is one where the work done by the forces acting on an object is path-independent and depends only on the initial and final positions. In such fields, potential energy can be defined because it allows us to assign a value to the energy stored due to the position of an object in the field. ### Step 2: Understand the Reason (R) The reason states that "The value of potential energy depends on the reference level (level of zero potential energy)." - **Explanation**: Potential energy is relative and is defined with respect to a reference point. For example, if we set the zero potential energy level at ground level, then the potential energy of an object at height \( h \) is given by \( U = mgh \). If we choose a different reference level, the calculated potential energy would change, but the difference in potential energy (which is what affects the work done) remains the same. ### Step 3: Evaluate the Truth of Assertion and Reason - Both the assertion and the reason are true statements. - However, the reason does not directly explain why potential energy can only be defined in conservative fields. It merely states a fact about potential energy. ### Conclusion - The assertion (A) is true because potential energy is indeed defined in conservative fields. - The reason (R) is also true because potential energy values depend on the reference level chosen. - However, the reason does not serve as a correct explanation for the assertion. ### Final Answer Both assertion and reason are true, but the reason is not the correct explanation of the assertion.
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