JEE Main 2022PhysicsMathematics in PhysicsEasyMCQ

JEE Main 2022 — Mathematics in Physics Question with Solution

JEE Main 2022 (25 Jun Shift 1)

Question

If Z=A2B3C4, then the relative error in Z will be 

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Show full solutionCorrect option: A
Correct answer
A2ΔAA+3ΔBB+4ΔCC

Step-by-step explanation

Given: Z=A2B3C4

When quantities are multiplied or divided, the relative error in the result is the sum of the relative errors in the multipliers.

So, ∆ZZ=∆AA+∆AA+∆BB+∆BB+∆BB+∆CC+∆CC+∆CC+∆CC

Thus, relative error is 

∆ZZ=2×∆AA+3×∆BB+4×∆CC

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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.