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JEE Main 2022 — Mathematics in Physics Question with Solution

JEE Main 2022 (27 Jun Shift 1)

Question

A silver wire has a mass 0.6±0.006g, radius 0.5±0.005mm and length 4±0.04cm. The maximum percentage error in the measurement of its density will be

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Show full solutionCorrect option: C
Correct answer
C4%

Step-by-step explanation

Volume of the wire is V=πr2l.

Density of the wire is ρ=mπr2l

Relative error in measurement of density

⇒Δρρ=Δmm+2×Δrr+Δll

=0.0060.6+2×0.0050.5+0.044

=0.01+0.02+0.01=0.04

∴ Percentage error in ρ=0.04×100=4%

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About this question

This is a previous-year question from JEE Main 2022, covering the Mathematics in Physics 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.