Error — Graph MethodHardQuestion 30196
Question
In a graph-based experiment, the slope is found to be 2.0 with an uncertainty of ±0.1. If a physical quantity Q = slope², its value and %error are:
- A4.0 ± 10%Correct
- B4.0 ± 5%
- C4.0 ± 20%
- D4.0 ± 2%
Correct answer
4.0 ± 10%
Explanation
Q = slope². %error in Q = 2 × %error in slope = 2 × (0.1/2.0 × 100) = 2 × 5% = 10%. Q = 4.0 ± 10%.