Astronomers know that the two lines, labeled as D1 and D2, are created by electron transitions...

Astronomers know that the two lines, labeled as D₁ and D₂, are created by electron transitions in sodium atoms. The D₁ line is missing photons of wavelength 5895.924 Å. The D₂ line is caused by absorption of 5889.950 Å photons. Using their known wavelengths, you will be able to convert pixels in the photograph into real wavelengths by determining a scale factor (i.e., determining the number of pixels per Angstrom)

Calculate: how many Angstroms are there between the D₁ and D₂ tick-marks?

Wavelength of D₁

(in Å)

Wavelength of D₂

(in Å)

Wavelength Separation Between D₁ and D₂

Solutions

Expert Solution

In the original scale, the separation in length between the peaks will be:

which is the wavelength separation in the original scale.

Let us assume that the scale factor is Q

so, there are Q pixels per Angstrom

now if the number of pixels between D1 and D2 is N (wavelength separation between D1 and D2), then

=> .

from the given pixel positions for D1 and D2, calculate N and use it to determine the scale factor Q.

1 Angstrom = 1 x 10^-10 m

so, the number of Angstroms between D1 and D2 will be:

genius_generous answered 1 year ago

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