A length is measured as 15.0 m with an uncertainty of ±0.5 m. If this length is used to calculate the area of a square, what is the maximum possible error in the area?
Practice Questions
1 question
Q1
A length is measured as 15.0 m with an uncertainty of ±0.5 m. If this length is used to calculate the area of a square, what is the maximum possible error in the area?
3.0 m²
1.5 m²
0.5 m²
2.0 m²
Area = L², maximum error = 2 * L * ΔL = 2 * 15.0 * 0.5 = 15.0 m².
Questions & Step-by-step Solutions
1 item
Q
Q: A length is measured as 15.0 m with an uncertainty of ±0.5 m. If this length is used to calculate the area of a square, what is the maximum possible error in the area?
Solution: Area = L², maximum error = 2 * L * ΔL = 2 * 15.0 * 0.5 = 15.0 m².
