Red laser light passes through a single slit to form a diffraction pattern. If the width of the slit is increased by a factor of two, what happens to the width of the central maximum?

Respuesta :

If the width of the slit is increased by a factor of two , then the central maxima will get decreased by half.

since , width of the central maxima is inversely proportional to the width of the slit . Which implies if width of the slit get increased then width of the central maxima will get decreased and vice versa.

central maxima = (2 * wavelength * D) / width of the slit

                          = (2 * lambda * D) / d

if initially width of the slit = d

then, after increasing it by a factor of two it become =  2d

central maxima  =  (2 * lambda * D) / 2d

                           = (lambda * D) / d

If the width of the slit is increased by a factor of two , then the central maxima will get decreased by half.

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