JEE Main 2019PhysicsUnits and DimensionsMediumMCQ

JEE Main 2019Units and Dimensions Question with Solution

JEE Main 2019 (08 Apr Shift 2)

Question

If Surface tension (S), Moment of Inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be:

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Show full solutionCorrect option: A
Correct answer
AS1/2I1/2h0

Step-by-step explanation

PSaIbhc
[MLT-1]=MT-2aML2bML2T-1C
MLT-1=[Ma+b+cL2b+2cT-2a-c]
From comparing the power on both side
a+b+c=1
2b+2c=1
-2a-c=-1
From the above three equations we will get
a=12, b=12& c=0
PS12I12h0

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About this question

This is a previous-year question from JEE Main 2019, 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.