Question

Diffraction gratings are characterized by the number of lines per mm . For a transmission grating, this is the number of slits per mm of width. For this grating, with 800 lines/ mm , what is the position on the detector of the center of the first-order interference fringe for light with a wavelength of exactly 500 nm ? The central maximum is the origin at y =

Answer 1

The position on the detector of the center of the first-order interference fringe for light with a wavelength of 500 nm can be determined using the formula: position of center = (wavelength x distance) / (number of lines per mm). Plugging in the values, we get a position of center equal to 0.625 mm.

Step-by-step explanation:

Diffraction gratings can be characterized by the number of lines per mm. For a transmission grating, this refers to the number of slits per mm of width. In the case of a grating with 800 lines/mm, the position on the detector of the center of the first-order interference fringe for light with a wavelength of 500 nm can be determined using the formula:

position of center = (wavelength x distance) / (number of lines per mm)

Plugging in the values, we get:

position of center = (500 nm x 1 mm) / (800 lines)

position of center = 0.625 mm