What is the distance in m between lines on a diffraction grating that produces a second-order maximum for 775-nm red light at an angle of 62.5°?

Question

asked Nov 6, 2021 108k views

1 Answer

Carlos Valiente · Answer 1 · 2021-11-10T23:39:36+0000

Answer:

The distance is
$d = 1.747 *10^(-6) \ m$

Step-by-step explanation:

From the question we are told that

The order of maximum diffraction is m = 2

The wavelength is
$\lambda = 775 nm = 775 * 10^(-9) \ m$

The angle is
$\theta = 62.5^o$

Generally the condition for constructive interference for diffraction grating is mathematically represented as

$dsin \theta = m * \lambda$

where d is the distance between the lines on a diffraction grating

So

$d = (m * \lambda )/(sin (\theta ))$

substituting values

d = (2 * 775 *1^(-9) )/(sin ( 62.5 ))

$d = 1.747 *10^(-6) \ m$