Question

If the scientist uses a diffraction grating with 500 lines per mm and laser with a wavelength of 680 nm, what angle will a line from the grating to the second order bright spot make with the line from the grating to the central bright spot?

slit width * sin(theta) = order * wavelength

500 lines in 1 * 10^-3 m

1 line = 10^-3 / 500 m

slit width = 10^-3 / 500 m

10^-3 / 500 * sin(theta) = 2 * 680 * 10^-9

angle line from the grating to the second order bright spot theta = 42.84 degree

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