📝 ERROR PROPAGATION

📖 From Calculus • 4. Topics in Differentiation • 25 questions available

Practice MCQs for ERROR PROPAGATION. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-14

Easy Questions

Medium Questions

Hard Questions

Q1. If a measurement has error \(dx\), the propagated error in \(y = f(x)\) is approximated by:

🔹 A. \(\Delta y = \Delta x\)

🔹 B. \(dy = f'(x)\)

🔹 C. \(dy = f(x)dx\)

🔹 D. \(dy = f'(x)dx\)

💡 Difficulty: easy | ✅ Correct: D

Q2. The side of a square is measured as 10 cm with error \(\pm 0.1\) cm. The propagated error in the area is approximately:

🔹 A. \(\pm 2\) cm²

🔹 B. \(\pm 1\) cm²

🔹 C. \(\pm 4\) cm²

🔹 D. \(\pm 0.1\) cm²

💡 Difficulty: medium | ✅ Correct: A

Q3. The radius of a sphere is measured as 5 cm with error \(\pm 0.02\) cm. The propagated error in the volume is approximately:

🔹 A. \(\pm \pi\) cm³

🔹 B. \(\pm 4\pi\) cm³

🔹 C. \(\pm 0.02\pi\) cm³

🔹 D. \(\pm 2\pi\) cm³

💡 Difficulty: hard | ✅ Correct: D

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