JEE Main202622 January 2026Evening ShiftPhysicsWork, Power and EnergyActual
Given below are two statements : Statement I : An object moves from position r₁ to position r₂ under a conservative force field F . The work done by the force is W=- _ r₁ ^ r₂ F d 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 the
Options
- ABoth Statement I and Statement II are false
- BStatement I is false but Statement II is true
- CStatement I is true but Statement II is false
- DBoth Statement I and Statement II are true
Correct answer
A. Both Statement I and Statement II are false
Step-by-step solution
Statement I: The work done by a force F during a displacement from r ₁ to r ₂ is defined as W = _ r₁ ^ r₂ F d r . The expression given in the statement, W = - _ r₁ ^ r₂ F d r , is the definition of the change in potential energy ( U = -W ), not the work done by the force itself. Thus, Statement I is false. Statement II: By definition, a conservative force is one for which the work done in moving an object between two points is independent of the path taken. It only depends on the initial and final positions. Theref