A grating with 8000 slits space over 2.54 cm is illuminated by light of a wavelength of 546 nm.What is the angle for the third order maximum?
A) 31.1$^{\circ}$
B) 15.1$^{\circ}$
C) 26.3$^{\circ}$
D) 10.5$^{\circ}$

Question

Quizplus · Accepted Answer

The angle for the third order maximum can be found using the grating equation: $d \sin \theta = m \lambda$. Here, $d = \frac{2.54 \, \text{cm}}{8000} = 3.175 \times 10^{-4} \, \text{cm}$, $m = 3$, and $\lambda = 546 \, \text{nm} = 5.46 \times 10^{-5} \, \text{cm}$. Solving for $\theta$, we get $\theta \approx 31.1^\circ$.

A Grating with 8000 Slits Space Over 2 ∘^{\circ}∘ B) 151 ∘^{\circ}∘

A Grating with 8000 Slits Space Over 2 $^{\circ}$ B) 151 $^{\circ}$