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A diffraction grating has 580 lines/mm (a line is the same thing as a slit.) Light is shone through the grating and onto a screen located 141 cm from the slits. The first order spots are seen at a distance of 47.94 cm from the center spot.

(a) What is the slit spacing?

(b) What is the wavelength of the light?

(c) What is the distance to the second order spot?

(d) How many total spots are seen in the pattern include the central spot and count on both sides.

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