Home/
Competitive Exams/
JEE Main & Advanced/
Physics/
Errors and Measurements/
Question 30183
JEE Physics · Hard

Errors and Measurements: Error — Propagation Chain MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Error — Propagation ChainHardQuestion 30183

Question

If refractive index μ = sin((A+D)/2)/sin(A/2) where A = 60° ± 0.1° and D = 30° ± 0.2°, which angle dominates the error in μ?
  1. A
    A dominates
  2. B
    D dominates
    Correct
  3. C
    Both equally
  4. D
    Neither — μ has no error

Correct answer

D dominates

Explanation

D appears only once but its error (0.2°) is larger than A's contribution per degree. Differentiation shows the numerator angle (A+D)/2 changes more with D changes.

Review Errors and Measurements notesStart timed chapter practice