Adiffraction grating with 355 lines/mm is 1.2 m in front of a screen. what is the wavelength of light whose first-order maxima will be 16.4 cm from the central maximum on the screen?

The wavelength of light is 381 nm.

Explanation:

Given that,

Distance of screen D= 1.2 m

Diffraction grating = 355 lines/mm

Order m= first

Distance from the central maximum on the screen y= 16.5 cm

We need to calculate the width of slits

We need to calculate the angle

Using formula of distance

Put the value into the formula

We need to calculate the wave length

Using formula of wavelength

Put the value into the formula

Hence, The wavelength of light is 381 nm.

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