Conservative and Non-Conservative PYQs: JEE Mains Physics

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1. 1. Given below are two statements:
   Statement I: An object moves from position \( r_{1} \) to position \( r_{2} \) under a conservative force field \( \vec{F} \). The work done by the force is \( W=-\int_{r_{1}}^{r_{2}}\vec{F}\cdot d\vec{r} \).
   Statement II Any object moving from one location to another location can follow infinite number of paths. Therefore, the amount of work done by the object changes with the path it follows for a conservative force.
   In the light of above statement, choose the correct answer from the options given below: 2026 Medium
2. 2. Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
   Assertion A: In a central force field, the work done is independent of the path chosen.
   Reason R: Every force encountered in mechanics does not have an associated potential energy.
   In the light of the above statements, choose the most appropriate answer from the options given below 2025 Easy
3. 3. A body of mass \(50 \mathrm{~kg}\) is lifted to a height of \(20 \mathrm{~m}\) from the ground in the two different ways as shown in the figures. The ratio of work done against the gravity in both the respective cases will be _______.
   2024 Hard

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