JEE Main · 2026 · 22 Jan 2026 · Shift 2 · Work, Power & Energy

Given below are two statements:
Statement I: An object moves from position

r_{1}

to position

r_{2}

under a conservative force field

F

. The work done by the force is

W = - \int_{r_{1}}^{r_{2}} F \cdot 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 above statements, choose the correct answer from the options given below:

(A)Both Statement I and Statement II are true
(B)Statement I is false but Statement II is true
(C)Statement I is true but Statement II is false
(D)Both Statement I and Statement II are false✓ Correct

Answer: (D)

Solution

The work done by a force is

W = \int_{r_{1}}^{r_{2}} F \cdot d r

; the minus sign belongs to the relation

W = - Δ U

between work and potential energy, not to the definition of work itself, so Statement I is incorrect. For a conservative force the work done depends only on the end points and is the same along every path, so it does not change with the path chosen; Statement II is therefore incorrect as well. Both statements are false.

JEE Main · 2026 · 22 Jan 2026 · Shift 2 · Single correct option

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JEE Main · 2026 · 22 Jan 2026 · Shift 2 · Work, Power & Energy

Solution

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