JEE Main 2026 — Units and Dimensions Question with Solution
JEE Main 2026 (06 April Shift 1)
Question
The potential energy of a particle changes with distance from a fixed origin as , where and are constant with appropriate dimensions. The dimensions of are _______.
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
By the principle of dimensional homogeneity, quantities added or subtracted must have the same dimensions. In the denominator, is added to (distance).
The dimensions of potential energy are .
From the given equation , we can write the dimensional formula as:
Now, the dimensions of are:
Answer:
The dimensions of potential energy are .
From the given equation , we can write the dimensional formula as:
Now, the dimensions of are:
Answer:
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This is a previous-year question from JEE Main 2026, covering the Units and Dimensions 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.