Error — Conceptual TrapHardQuestion 30181
Question
A physical quantity P = a³b²/(c√d). If %errors in a, b, c, d are α, β, γ, δ respectively, the %error in P is:
- A3α + 2β + γ + δ/2Correct
- B3α + 2β − γ − δ/2
- C3α + β + γ + δ/2
- D(α+β)/(γ+δ)
Correct answer
3α + 2β + γ + δ/2
Explanation
%error in P = 3α + 2β + γ + (1/2)δ. All terms add (regardless of whether quantities appear in numerator or denominator, the power determines the multiplier).