QJEEM18Phdf7c: JEE Main 2018 Physics - Class 11 JEEM18Phdf7c Solution: The percentage errors in quantities P, Q, R and S are 0.5%, 1%, …

Question

Verified Solution • 2025–26 Session moderate

The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physical quantity A =

\frac{P^{3} Q^{2}}{\sqrt{R} S} .

The maximum percentage error in the value of A will be :

Accepted Answer

Given,

A =

\frac{P^{3} Q^{2}}{\sqrt{R} S}

∴

\frac{Δ A}{A}

= 3

\frac{Δ P}{P}

+ 2

\frac{Δ Q}{Q}

+

\frac{1}{2}

\frac{Δ R}{R}

+

\frac{Δ S}{S}

Maximum percentage error in the value of A is

\frac{Δ A}{A}

\times

100 = 3

\times

0.5 + 2

\times

1 +

\frac{1}{2}

\times

3 + 1

\times

1.5

= 6.5 %

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