JEE Main 2026 — Work Power Energy Question with Solution
JEE Main 2026 (22 January Shift 2)
Question
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 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 :
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 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 :
Choose an option
Show full solutionCorrect option: A
Correct answer
ABoth Statement I and Statement II are false
Step-by-step explanation
Statement I:
The work done by a force during a displacement from to is defined as .
The expression given in the statement, , is the definition of the change in potential energy (), 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.
Therefore, the claim that work done changes with the path for a conservative force is false.
Since both statements are false, the correct option is (1).
The work done by a force during a displacement from to is defined as .
The expression given in the statement, , is the definition of the change in potential energy (), 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.
Therefore, the claim that work done changes with the path for a conservative force is false.
Since both statements are false, the correct option is (1).
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This is a previous-year question from JEE Main 2026, covering the Work Power Energy chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.