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Calculate the width of the slits, in micrometers.

You are given the following data: Distance to the screen = 2.77 meters; Wavelength of light = 0.420 micrometers; Distance between tick marks on the intensity figure = 1.60 cm (The figure has the generic diffraction grating light pattern, with tick marks occurring between each maxima)

Maxima occur at sin theta = m lambda / d (where m is the order, lambda is the wavelength of light, and d is the distance between slits)

first.. I find out what theta is.. i can find this by

tan theta = (.016m)/(2.77m)

tan theta = .0057761

theta = .33095 degrees

plugging into the maxima formula,

sin theta = m lambda / d

sin (.33095) = 1 (.420x10^-6) / d

d = 7.27x10^-5m = 72.7 micrometers

72.7 micrometers is incorrect. Anyone know where I went wrong?

Thanks.