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}

 

Answers (1)

For maximum percentage error, differentiate and divide the equation by itself

\frac{\Delta A}{A} =3 \frac{\Delta P}{P} +2\frac{\Delta Q}{Q} +\frac{1}{2}\frac{\Delta R}{R}+\frac{\Delta S}{S}

\frac{\Delta A}{A} = 6.5 \%

 

Most Viewed Questions

Preparation Products

JEE Foundation + Knockout JEE Main 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
JEE Foundation + Knockout JEE Main 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
JEE Foundation 2023 (Easy Installment)

Adaptive Time Table, 450 hours of Video Lectures, NCERT Solutions, CBSE Previous Year Papers, Chapter wise Tests,.

₹ 4999/-
Buy Now
JEE Main Rank Booster 2022

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 9999/-
Buy Now
Knockout BITSAT 2021

It is an exhaustive preparation module made exclusively for cracking BITSAT..

₹ 4999/- ₹ 2999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions