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The figure shows the interference pattern on a screen 1.0m behind an 800 line/mm diffraction grating. What is the wavelength of the light? Please show work!

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Final answer:

To find the wavelength of the light, divide 1 by the number of lines per millimeter on the diffraction grating. In this case, the wavelength is approximately 1.25 x 10^-3 mm.

Step-by-step explanation:

To find the wavelength of the light, we can use the equation:

wavelength = 1 / (lines/mm)

Given that the diffraction grating has 800 lines/mm, we can substitute the value into the equation:

wavelength = 1 / 800 mm

Simplifying the equation, we find that the wavelength of the light is approximately 1.25 x 10^-3 mm.

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