Given below are two statements : Statement I : An object moves from position to position under a conservative force field . The work done by the force is Statement II : Any object moving from one location to another location can follow infinite numb

Question

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 the above statements, choose the correct answer from the options given below : [2026]

Smart Achievers · Accepted Answer

(3)

$Statement-I : Incorrect$

$Correct equation is W = \int_{r_{1}}^{r_{2}} \vec{F} \cdot d \vec{r}$

$Statement-II : Incorrect$

Solution

1 Statement I is true but Statement II is false

2 Both Statement I and Statement II are true

3 Both Statement I and Statement II are false

4 Statement I is false but Statement II is true

Ans.
(3)

$Statement-I : Incorrect$

$Correct equation is W = \int_{r_{1}}^{r_{2}} \vec{F} \cdot d \vec{r}$

$Statement-II : Incorrect$

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