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The field of view for human vision is limited by how wide an angle is clearly...

The field of view for human vision is limited by how wide an angle is clearly seen. Greg, a physics student, sees patterns and colors to an angle of 12∘12∘ to the right and to the left while looking straight ahead. When holding a diffraction grating to view a light source emitting a very narrow line of 410 nm410 nm violet light, Greg sees a number of repeating violet lines.

For a diffraction grating engraved with 270 lines/mm,270 lines/mm, how many lines NN of violet light will Greg be able to see while looking straight ahead through the grating?

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