A light with a second-order bright band forms a diffraction angle of 30.0 degrees The diffraction grating has 250 point 0 lines per mm What is the wavelength of the light?

For a diffraction grating, the bright-band condition is d sin θ = mλ. With 250 lines per millimeter, the spacing is d = 1/250 mm = 4,000 nm. Using the second-order band (m = 2) and sin 30° = 0.5 gives λ = (4,000 × 0.5)/2 = 1,000 nm, so the wavelength is 1,000 nanometers.

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