A physical quantity P is related to four observations a, b, c and d as follows:P = a^3b^2 / c√(d)The percentage errors of measurement in a, b, c and d are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity P is

1. 10%

2. 2%

3. 13%

4. 15%

Doubtly Asked 30 Oct 2026 NEET UG 2025 Practice test neet Save WhatsApp Report

1 answer

Best answer

Answer: 3. 13%

Key idea: for $P=\dfrac{a^3b^2}{c\sqrt d}$, the maximum percentage error is the sum of (power $\times$ percentage error) of each quantity.

$$\frac{\Delta P}{P}\times100=3(1)+2(3)+1(2)+\tfrac12(4)=3+6+2+2=13\%$$

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

Was this answer helpful?