g the Isoradius Lines (optional, mathematical section) Qusestion 15: The HR Diag

Question

g the Isoradius Lines (optional, mathematical section) Qusestion 15: The HR Diagram is a log- og plot of the solar unilog L- log R*+ log T squation L-RT Use the boxed equations to argue that isoradius lines on the HR Diagram must be parallel lines. log L = log(R2T4 ) log L-log R +Alog T Question 16: Complete the table below. Then add the points to the following HR Diagram and use them to draw in the isoradius lines for 1, 10, and 100 solar radi. Symbol L (L) R (R.) 10 10 10 10 10 100 100 100 1,000 N10 0.5 NAAP-HR Diagram Explorer 89

Explanation / Answer

L=R2T4

Symbol             L    R    T    

x                      1                       1                  1

A                      10                     1                   101/4

B                     100                    1                   101/2

C                    10000                1                   10

D                     1000                  10                  101/4

E                      10000               10                  101/2

F                     10000                100                  1

G                    160000              100                  2

H                      625                  100                   0.5

The isobar lines are the parallel lines

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