Physics

Problem

In a diffraction-grating experiment with

500\,\text{lines/mm}

, violet light of wavelength

420\,\text{nm}

produces a third-order maximum. a. Part 1: Determine

\theta_{\text{exact}}

for this maximum. b. Part 2: Estimate

\theta_{\text{approx}}

by replacing

\sin\theta

with

\theta

in radians. c. Part 3: Calculate the percentage error and state whether the approximation is acceptable if the experiment tolerates up to

1.5\%

error.