JEE Main 2020PhysicsMathematics in PhysicsEasyMCQ

JEE Main 2020 — Mathematics in Physics Question with Solution

JEE Main 2020 (05 Sep Shift 1)

Question

A physical quantity z depends on four observables a, b, c and d, as  z=a2b2/3cd3. The percentage of error in the measurement of a, b, c and d are 2%,1.5%,4%  and 2.5% respectively. The percentage of error in z is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D14.5%

Step-by-step explanation

Δtt=2Δaa+23Δbb+12Δcc+3Δdd

=2×2+23×1.5+12×4+3×2.5

=4+1+2+7.5

=14.5%

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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.