Error AnalysisHardQuestion 5033
Question
In an experiment, the refractive index n = sin((A+D)/2) / sin(A/2) where A = 60° ± 1° and D = 30° ± 1°. The error in n arises from:
- AError in A only
- BError in D only
- CError in both A and DCorrect
- DCannot be determined
Correct answer
Error in both A and D
Explanation
Both A and D appear in the formula. The total error in n is a combined effect of errors in both prism angle A and angle of minimum deviation D. Both contribute to the uncertainty in n.