A 5 mm thick light filter has a variable absorption coefficient, depending on the wavelength according to the law m=m0 + a(L0 - L)^2, where a=5.6 1020 m-3, L0=500.0 nm, m0=4 m-1. Determine the transparency of the light filter for wavelength Ao and the transmission width of the light filter. The transmission width includes all waves at which the transparency of the filter is not less than half the transparency at the resonant wavelength. Neglect reflection of light from surfaces.

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