JEE Main 2023PhysicsMathematics in PhysicsEasyMCQ

JEE Main 2023 — Mathematics in Physics Question with Solution

JEE Main 2023 (10 Apr Shift 1)

Question

A physical quantity P is given as P=a2b3cd. The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P will be

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Correct answer
A13%

Step-by-step explanation

The given quantity is P=a2b3cd.

The percentage error for a quantity can be given by the formula ∆xx×100.

Relation of the relative errors will be,

ΔPP=2Δaa+3Δbb+Δcc+12Δdd

Hence, the percentage error is calculated by substituting the values,

ΔPP×100=2×1+3×2+3+12×4=13%.

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About this question

This is a previous-year question from JEE Main 2023, 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.