A diffraction grating with 500 grooves per millimeter is used to study the spectrum of Mercury containing the following lines: violet, blue, green and a yellow doublet. When using the first diffraction grating we notice that we observe the first order of the blue line at an angle of 12.59⁰. a- What is the wavelength Ablue of the blue line in the spectrum of Mercury? b- At what angles will the green line be observed? We have green = 546.1 nm.s. c- A line is observed at an angle of 23.87°. What is the color of this line? In the following we replace the diffraction grating with another one with unknown spacing. We notice that the first order green line is observed at an angle of 25.91°. d- Find the number of grooves per millimeter for the diffraction grating. e- Find the angular separation of the yellow doublet at first order (1 = 579.0 nm and Ay2 = 577.0 nm). f- What resolving power must a grating have to distinguish the yellow doublet?

A diffraction grating with 500 grooves per millimeter is used to study the spectrum of Mercury containing the following lines: violet, blue, green and a yellow doublet. When using the first diffraction grating we notice that we observe the first order of the blue line at an angle of 12.59⁰. a- What is the wavelength Ablue of the blue line in the spectrum of Mercury? b- At what angles will the green line be observed? We have green = 546.1 nm.s. c- A line is observed at an angle of 23.87°. What is the color of this line? In the following we replace the diffraction grating with another one with unknown spacing. We notice that the first order green line is observed at an angle of 25.91°. d- Find the number of grooves per millimeter for the diffraction grating. e- Find the angular separation of the yellow doublet at first order (1 = 579.0 nm and Ay2 = 577.0 nm). f- What resolving power must a grating have to distinguish the yellow doublet?