Mixed ConceptsMediumQuestion 5051
Question
For g = 4π²l/T², take l = (20.0 ± 0.1) cm and T = (1.00 ± 0.01) s, with maximum error bounds. What is the first-order maximum percentage error in g?
- A0.5%
- B1.5%
- C2.5%Correct
- D4.0%
Correct answer
2.5%
Explanation
Length contributes (0.1/20.0) × 100 = 0.5%; the squared period contributes 2 × (0.01/1.00) × 100 = 2%. The first-order maximum total is 2.5%. This bound is not an accuracy guarantee.