Explain Why A Light Wave Diffracts Much Less Than A Sound Wave, When The Two Pass Through The Same Doorway?

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The formula for diffraction is  dsinθ=λ, where d is the width of the slit and λ is the wave length. Light does not diffract from slits greater than its frequency. As light has a frequency much higher than of sound, it diffracts  much less than sound. Hope it satisfies you. For more info click here.

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