What is the uncertainty in the measurement of a length of 5.00 cm ± 0.02 cm when calculating the area?
Practice Questions
1 question
Q1
What is the uncertainty in the measurement of a length of 5.00 cm ± 0.02 cm when calculating the area?
0.04 cm²
0.10 cm²
0.20 cm²
0.50 cm²
Area = length² = (5.00 cm)² = 25.00 cm². The uncertainty in area is calculated using the formula: ΔA = 2LΔL = 2(5.00 cm)(0.02 cm) = 0.20 cm².
Questions & Step-by-step Solutions
1 item
Q
Q: What is the uncertainty in the measurement of a length of 5.00 cm ± 0.02 cm when calculating the area?
Solution: Area = length² = (5.00 cm)² = 25.00 cm². The uncertainty in area is calculated using the formula: ΔA = 2LΔL = 2(5.00 cm)(0.02 cm) = 0.20 cm².
