Light passes through a diffraction grating with a slit spacing of 0.001 mm. A viewing screen is 100 cm behind the grating.

If the light is blue, with a wavelength of 450 , at about what distance from the center of the interference pattern will the first-order maximum appear?

The distance from the center of the interference pattern will the first-order maximum appear is 50.38 cm.

Explanation:

Given that,

Slit space= 0.001 mm

Distance = 100 cm

Wavelength = 450 nm

We need to calculate the angle

Using formula for diffraction maxima

For first order,

Put the value into the formula

We need to calculate the distance from the center of the interference pattern will the first-order maximum appear

Using formula of distance

Put the value into the formula

Hence, The distance from the center of the interference pattern will the first-order maximum appear is 50.38 cm.