The table on the next page gives various physical parameters of some of the star

Question

The table on the next page gives various physical parameters of some of the stars on the Main Sequence of the Hertzsprung-Russel (HR) Diagram. (a) Make a plot of the radius versus the mass of these stars on a “log –log” plot (log in base 10 please) with mass on the x-axis. (b) On the plot in (a) draw the line that would correspond to the mass-radius relationship if all of the stars were the same density as the Sun. Draw another line corresponding to a density one-tenth (1/10) that of the Sun. (c) Discuss the result: e.g. are the more massive stars also the most dense?

1.93

Im a bit confused. So do i just calculate log m and log r? then what about the same density and 1/10 of sun?

Spectral Type Teff Luminosity R Mass Mv U-B B-V O5 44500 790000 15 60 -5.7 -1.19 -0.33 O8 35800 170000 11 23 -4.9 -1.14 -0.32 B0 30000 52000 8.4 17.5 -4.0 -1.08 -0.30 B5 15400 830 4.1 5.9 -1.2 -0.58 -0.17 A0 9520 54 2.7 2.9 0.6 -0.02 -0.02 F0 7200 6.5 1.6 1.6 2.7 0.03 0.30 G0 6030 1.5 1.1 1.05 4.4 0.06 0.58 K0 5250 0.42 0.79 0.79 5.9 0.45 0.81 K5 4350 0.15 0.68 0.67 7.4 0.98 1.15 M0 3850 0.077 0.63 0.51 8.8 1.22 1.40 M5 3240 0.011 0.33 0.21 12.3 1.24 1.64 M8 2640 0.0012 0.17 0.06 16.0 1.53

1.93

Explanation / Answer

You need to calculate both log m as well as log r.

since it is asked to plot on log-log scale.

also for the same density use data as such

for 1/10 density, multiply each mass by 1/10 and then plot

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