You use the values above to calibrate your spectroscope by plotting a line of th

Question

You use the values above to calibrate your spectroscope by plotting a line of the known wavelengths(y) versus the readings obtained(x). What is the equation of the line?
y = x + .

You use the now calibrated spectroscope to view another unknown light source and are able to determine two distinct color lines orange (Spectroscope reading 624) and yellow (Spectroscope reading 597).
What are the corrected wavelengths for these two readings?
Orange line =  nm
Yellow Line =  nm

Color Spectroscope Reading (a.u.) (nm) |Known Helium Wavelength Red 682 Yellow Green Violet 706.5 587.6 501.6 388.9 507 394

Explanation / Answer

given spectroscopic readings show that the meter is to be caliberated,

As specified, the calibiration plot is of type

y=x+c;

where y is the true value of the color and x is the value measured by the spectroscope.

As we have true and spectroscopic values for few colors we can use them to find the value of c and then we can find values for orange and yellow.

using the value for

RED

706.5=682+c1;

c1=24.5

YELLOW:

587.6=555+c2

c2=32.6

GREEN:

501.6=507+c3

c3=-5.4

VIOLET:

388.9=394+c4

c4=-5.1

taking avg of all these gives c=(c1+c2+c3+c4)/4

=(24.5+32.6-5.4-5.1)/4  

=11.65

therefore the equation becomes y=x+11.65

using the above equation,

for

ORANGE:

y=x+11.65

y=624+11.65=635.65

YELLOW:

y=597+11.65=608.65

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