Star A and Star B are both on the main sequence. Star A is 63 times more luminous than Star B. What is the ratio of their main-sequence lifetimes? (Hint: Refer to the stellar life expectancies equation, t. 2 - 13
Star A and Star B are both on the main sequence. Star A is 63 times more luminous than Star B. What is the ratio of their main-sequence lifetimes? (Hint: Refer to the stellar life expectancies equation, t. 2 - 13
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The answer is not 13, I need help solving this! Thank you!
![Star A and Star B are both on the main sequence. Star A is 63 times more luminous than Star B. What is the ratio of their main-sequence lifetimes?
(*Hint*: Refer to the stellar life expectancies equation, \( t_* = \frac{M_*}{L_*} = \frac{M_*}{M_*^{3.5}} = \frac{1}{M_*^{2.5}} \).)
\[
\frac{t_B}{t_A} = \boxed{13} \, \textcolor{red}{\textbf{✖}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10987a05-6004-4fb1-8846-eb9d55f60d7e%2F9a35fa53-eed8-4683-87d2-a52eebce03fd%2F48yu46i_processed.png&w=3840&q=75)
Transcribed Image Text:Star A and Star B are both on the main sequence. Star A is 63 times more luminous than Star B. What is the ratio of their main-sequence lifetimes?
(*Hint*: Refer to the stellar life expectancies equation, \( t_* = \frac{M_*}{L_*} = \frac{M_*}{M_*^{3.5}} = \frac{1}{M_*^{2.5}} \).)
\[
\frac{t_B}{t_A} = \boxed{13} \, \textcolor{red}{\textbf{✖}}
\]
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