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JEE Main 2022 — Mathematics in Physics Question with Solution

JEE Main 2022 (25 Jun Shift 2)

Question

For z=a2x3y12, where 'a' is a constant. If percentage error in measurement of  'x' and 'y' are 4%and 12%, respectively, then the percentage error for 'z' will be _____%.

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Show full solutionCorrect answer: 18
Correct answer
18

Step-by-step explanation

Given: z=a2x3y12

Relative error is given by 

∆zz=3×∆xx+12×∆yy

Now, maximum percentage error in z is 

∆zz×100=34+122×100

=18%.

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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.