Question

White light is passed through a diffraction grating that has the spacing between the slits of 4x10^6m. On each side of the white central maximum, a spectrum of colors is observed. What is the wavelength of the light observed at an angle of 7.00° in the first-order bright fringes?

Answer 1

The wavelength of the light is 487477.37 m.

Step-by-step explanation:

Given that,

Spacing between the slits
`d= 4*10^(6)\ m`

Angle = 7.00°

We need to calculate the wavelength

Using formula of wavelength

`d\sin\theta=n\lambda`

Where, d = distance between the slits

n = order bright fringes

Put the value into the formula

`\lambda=(d\sin\theta)/(n)`

`\lambda=(4*10^(6)*\sin7.00)/(1)`

`\lambda=487477.37\ m`

Hence, The wavelength of the light is 487477.37 m.