The spacing between adjacent slits on a diffraction grating is 3$\lambda$. The deviation $\theta$of the first order diffracted beam is given by:
A) sin($\theta$/2) = 1/3
B) sin($\theta$/3) = 2/3
C) sin($\theta$) = 1/3
D) tan($\theta$/2) = 1/3
E) tan($\theta$) = 2/3

Question

Quizplus · Accepted Answer

The formula for the angle of diffraction for the first order (m=1) is given by d*sin(θ) = m*λ. Given that the spacing d is 3λ, we have 3λ*sin(θ) = λ, which simplifies to sin(θ) = 1/3.

The Spacing Between Adjacent Slits on a Diffraction Grating Is λ\lambdaλ

The Spacing Between Adjacent Slits on a Diffraction Grating Is $\lambda$