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Light waves, for which the electric field is given by E_y(x, t) = E_max sin[(1.40 x 10⁷ m^-1 )x - ωt], pass through a slit and produce the first dark bands at ±28.6° from the center of the diffraction pattern. (a) What is the frequency of this light? (b) How wide is the slit? (c) At which angles will other dark bands occur?

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