Question

What is the wavelength of light that is deviated in the first order through an angle of 13.1 ∘ by a transmission grating having 5000 slits/cm? Assume normal incidence.

Answer 1

The wavelength of light is
`4.53*10^(-7)\ m`

Step-by-step explanation:

Given that,

Angle = 13.1°

Number of slits = 5000

We need to calculate the wavelength of light

Diffraction of first order is defined as,

`d \sin\theta=n\lambda`.....(I)

The separation of the slits

`d = (1)/(N)`

`d=(1)/(5000)`

`d=2*10^(-6)\ m`

Now put the value in equation (I)

`2*10^(-6)\sin13.1^(\circ)=\lambda`

Here, n = 1

`\lambda=4.53*10^(-7)\ m`

Hence, The wavelength of light is
`4.53*10^(-7)\ m`