 #1
Barbequeman
 8
 1
 Homework Statement:

From near to the centre of the solar disc, observations of Ni I line emission (which has rest wavelength of 676.800 nm) are analysed at two points, X and Y. At point X the observations show a triplepeaked spectral line with components at 676.813, 676.820 and 676.827 nm. The central component is not as bright as those at the longer and shorter wavelengths.
Measurements at a point Y around 10,000 km away from X on the Sun’s surface show three components at 676.816, 676.819 and 676.822. In this case, the central component is brighter than the components at longer and shorter wavelengths.
a. For each point X and Y determine the velocity of the gas containing the nickel relative to the observer.
b. Calculate the magnetic field strength at each point X and Y.
 Relevant Equations:

v=c (λλ0)/λ0
B=v/(c*λ)
For the first calculation of the velocity of the gas I use the first equation and this converted in meter would be look like this (first value as an example)
v=299792458 m/s * (6.76813x10^76.768x10^7)/6.768x10^7 =5836.03m/s or 0.0019c
this was the velocity of the gas for the first spectral line at 676.813nm
the next I´m not sure if it is correct, to calculate the field strength in Tesla with the second formula
B=5836.03m/s / 299792458m/s * 6.67813x10^7 m = 28.76 Tesla
With my formula the calculated field strength is much to high ... I´m not sure where the error lies
I would be glad to get some help in this case, or a response if I did it correctly
v=299792458 m/s * (6.76813x10^76.768x10^7)/6.768x10^7 =5836.03m/s or 0.0019c
this was the velocity of the gas for the first spectral line at 676.813nm
the next I´m not sure if it is correct, to calculate the field strength in Tesla with the second formula
B=5836.03m/s / 299792458m/s * 6.67813x10^7 m = 28.76 Tesla
With my formula the calculated field strength is much to high ... I´m not sure where the error lies
I would be glad to get some help in this case, or a response if I did it correctly
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