JEE Main 2019PhysicsUnits and DimensionsMediumMCQ

JEE Main 2019Units and Dimensions Question with Solution

JEE Main 2019 (09 Jan Shift 2)

Question

Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:

Choose an option

Show full solutionCorrect option: C
Correct answer
CGhc5

Step-by-step explanation

t=Gα. hβ cr

T=M-1L3T-2αML2T-1βLT-1γ

=M-α+βL3α+2β+γ T-2α-β-γ

- α+β=0

3α+2β+γ=0

-2α-β-γ=1

α=12;β=12;γ=-52

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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.