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A laser emitting light with a wavelength of 560 nm is directed at a single slit, producing an interference pattern on a screen that is

A laser emitting light with a wavelength of 560 nm is directed at a single slit, producing an interference pattern on a screen that is 3.0 m away. The central maximum is 5.0 cm wide.

a) Determine the width of the slit and the distance between adjacent maxima.?

b) What would the effect on this pattern be, if i. the width of the slit was smaller? ii. the screen was moved further away? iii. a larger wavelength of light was used? c) How would this interference pattern differ if the light was shone through a

i. double slit? ii. diffraction grating?

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