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JEE Main 2020 — Mathematics in Physics Question with Solution

JEE Main 2020 (06 Sep Shift 1)

Question

The density of a solid metal sphere is diameter. The maximum error in the density of the sphere is x100%. If the relative errors in measuring the mass and the diameter are 6.0% and 1.5% respectively, the value of x is -

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Show full solutionCorrect answer: 1050
Correct answer
1050

Step-by-step explanation

ρ=m43πd23

ρ=6mπd3

taking log

ℓnρ=ℓnm-3ℓnd

Maximum error by differentiation

dρρ=dmm+3ddd

dpρ=6+3×1.5

=10.5%=1050100%

Ans. x = 1050

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About this question

This is a previous-year question from JEE Main 2020, 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.