Question

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°?

Answer 1

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`