JEE Main 2024PhysicsUnits and DimensionsEasyMCQ

JEE Main 2024 — Units and Dimensions Question with Solution

JEE Main 2024 (31 Jan Shift 2)

Question

Consider two physical quantities A and B related to each other as E=B−x2At where E, x and t have dimensions of energy, length and time respectively. The dimension of AB is

Choose an option

Show full solutionCorrect option: B
Correct answer
BL2M-1T1

Step-by-step explanation

From the dimensional checking of the equation, we can say the dimensions of B=x2=L2

And dimensions of A=x2tE=L2TML2T−2=1MT−1

Hence, A=M−1T

Required value, AB=L2M−1T1

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About this question

This is a previous-year question from JEE Main 2024, 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.