1. A diffraction grating has N lines per centimeter and is placed 2.19 m away from a screen. Sunlight shines on the diffraction grating, incident along the normal, and we observe the spectrum of the sun, where light of many wavelengths are separated on the screen. We see the 1st order appearance of the Halpha line (656.28 nm) at a position 11.5 cm away from the central maximum. a) How many lines per centimeter does this diffraction grating have? N = ________________________ b) How far (in cm) from the central maximum would the

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1. A diffraction grating has N lines per centimeter and is placed 2.19 m away from a screen. Sunlight shines on the diffraction grating, incident along the normal, and we observe the spectrum of the sun, where light of many wavelengths are separated on the screen. We see the 1st order appearance of the Halpha line (656.28 nm) at a position 11.5 cm away from the central maximum.

a) How many lines per centimeter does this diffraction grating have? N = ________________________

b) How far (in cm) from the central maximum would the first-order H-gamma line (434.0472 nm) appear? ________________________

c) What is the angular separation between the second-order H-alpha and H-gamma lines? ________________________

d) Find the wavelength(s) of visible light that would have maxima at a point on the screen 37.4 cm from the central maximum?

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