JEE Main 2022PhysicsUnits and DimensionsEasyMCQ

JEE Main 2022 — Units and Dimensions Question with Solution

JEE Main 2022 (28 Jun Shift 1)

Question

Assertion A: Product of Pressure P and time t has the same dimension as that of coefficient of viscosity.

Reason: Coefficient of viscosity = Force  Velocity gradient 

Choose an option

Show full solutionCorrect option: C
Correct answer
CA is true but R is false.

Step-by-step explanation

Viscous force is given by F=ηAdvdt, here, A is area and dvdt is velocity gradient.

Thus, η=FAdvdt.

Now,  Pt=FAt=ηdvdtt

Then, Pt=ML-1T-1=η

Thus, assertion is true but reason is false.

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About this question

This is a previous-year question from JEE Main 2022, 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.