Question

Consider a diffraction grating of width 5cm with slits of width 0.0001 cm separated by distance of 0.0002cm 1:what is the corresponding grating element 2:how many orders will be observed at a wavelength of 0.000055 cm 3:calculate the dispersion in the different orders

Answer 1

a)
`d= 0.0002cm`

b)
`m=3`

Step-by-step explanation:

From the question we are told that:

Width of diffraction grating
`W_g= 5cm`

Width of silt
`w_s 0.0001 cm`

Distance
`d= 0.0002cm`

a)

Generally the grafting element is the distance b/w the silts

`d= 0.0002cm`

Therefore the grafting element is

`d= 0.0002cm`

b)

Generally the equation for diffraction state is mathematically given by

`dsin\theta=m\lambda`

Since

`sin\theta \leq 1`

Therefore

`m \leq (d)/(\lambda)`

`m \leq (0.0002)/(0.000055)`

`m \leq 3.6`

Therefore orders observed with
`\lambda` is

`m=3`