A laboratory mirror is adjusted so that its surface normal is intended to be exactly…
PHYSICS · Multi-part · CBSE · Physics · Units and Measurements · Units and Measurements
Problem
A laboratory mirror is adjusted so that its surface normal is intended to be exactly vertical. A technician measures the reflected beam and finds that it makes an angle of 25.0∘±0.5∘ with the mirror normal. Subsequent calibration reveals that the actual orientation of the mirror’s normal is 1.0∘±1.0∘ away from vertical.
(a) Compute the nominal angle of incidence of the beam on the mirror under the measured conditions.
(b) Assuming the two measurements are independent, determine the combined uncertainty in the incident angle. Show clearly how you propagate the individual uncertainties through your calculation.
(c) Compare the relative contributions from the two sources of uncertainty and discuss briefly which measurement (beam angle or mirror alignment) more strongly influences the precision of the incident-angle determination.