JEE Main 2017PhysicsUnits and DimensionsEasyMCQ

JEE Main 2017 — Units and Dimensions Question with Solution

JEE Main 2017 (08 Apr Online)

Question

Time T, velocity C and angular momentum h are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be:

Choose an option

Show full solutionCorrect option: A
Correct answer
AM=T-1C-2h

Step-by-step explanation

M∝TxCyhz
M1L0T0=T1xL1T-1yM1L2T-1z
[M1 L0T0]=[Mz Ly+2zTx-y-z]]
⟹z=1
y+2z=0 , x-y-z=0
solving
y=-2
and x=-1
M⇒ T-1 C-2 h1

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About this question

This is a previous-year question from JEE Main 2017, 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.