Diffraction grating

Understanding a particular spectrum is important in many areas of science, including physics and chemistry, where it can be used to identify a gas, for instance. To create a spectrum, light is generally sent through a diffraction grating, splitting the light into the various wavelengths that make it up$.$

Part $($a$)$

Part $($a$)$

Unanswered $-5$ attempts left

The first step in the process is to calibrate the grating, so we know the grating spacing $($the distance between the openings in the grating$).$ Sodium has two yellow lines that are very close together in wavelength at $590$ nm $.$ When light from a sodium source is passed through a particular diffraction grating, the two yellow lines overlap, looking like one line at an angle of $36\mathrm{.}0$ degrees in the first$-$order spectrum. What is the grating spacing?

$d=q,$ nm

The hydrogen atom is the simplest atom there is$,$ consisting of one electron and one proton, and it has thus been well studied. When hydrogen gas is excited by means of a high voltage, three of the prominent lines in the spectrum are found at wavelengths of $658nm,487nm,$ and $435$ nm $.$ Scientists observing these lines can be confident that the source of the light contains hydrogen.

$(1)$ Part $($c$)$

Unanswered $5$ attempts left

Sodium has two yellow lines that are very close together in wavelength at $590$ nm $.$ When light from a sodium source is passed through a particular diffraction grating, the two yellow lines overlap, looking like one line at an angle of $36\mathrm{.}0$ degrees in the first$-$order spectrum.

When the light from a hydrogen source is passed through the diffraction grating we calibrated with sodium, the $658$ nm line occurs at an angle of

The hydrogen atom is the simplest atom there is$,$ consisting of one electron and one proton, and it has thus been well studied. When hydrogen gas is excited by means of a high voltage, three of the prominent lines in the spectrum are found at wavelengths of $658nm,487nm,$ and $435$ nm $.$ Scientists observing these lines can be confident that the source of the light contains hydrogen.

$($a$)$ Part $($b$)$

Unanswered $-5$ attempts left

Sodium has two yellow lines that are very close together in wavelength at $590$ nm $.$ When light from a sodium source is passed through a particular diffraction grating, the two yellow lines overlap, looking like one line at an angle of $36\mathrm{.}0$ degrees in the first$-$order spectrum.

When the light from a hydrogen source is passed through the diffraction grating we calibrated with sodium, the $435$ nm line occurs at an angle of

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