JEE Main 2024PhysicsUnits and DimensionsEasyMCQ

JEE Main 2024 — Units and Dimensions Question with Solution

JEE Main 2024 (27 Jan Shift 2)

Question

The equation of state of a real gas is given by P+aV2(V-b)=RT, where P, V and T are pressure, volume and temperature respectively and R is the universal gas constant. The dimensions of ab2 is similar to that of :

Choose an option

Show full solutionCorrect option: B
Correct answer
BP

Step-by-step explanation

From the dimensional analysis, it follows that

[P]=aV2⇒[a]=PV2   ...1

And,

[V]=[b]

Hence,

ab2=PV2V2=[P]

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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.