JEE Main 2023PhysicsUnits and DimensionsMediumMCQ

JEE Main 2023 — Units and Dimensions Question with Solution

JEE Main 2023 (24 Jan Shift 2)

Question

The frequency ν of an oscillating liquid drop may depend upon radius r of the drop, density ρ of liquid and the surface tension s of the liquid as: ν=raρbsc. The values of a, b and c respectively are 

Choose an option

Show full solutionCorrect option: A
Correct answer
A-32, -12, 12

Step-by-step explanation

Here, we have ν=raρbsc

Equating the dimensions of each quantity on both sides

T-1=L1aM1L-3bMLT-2Lc⇒T-1=Mb+cLa-3bT-2c

Comparing the dimensions, we get

c=12, b=-12, a-3b=0

⇒a+32=0⇒a=-32  

Thus, the value of a, b and c are -32,-12, 12.

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About this question

This is a previous-year question from JEE Main 2023, 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.