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inAUG: Finding the Radius of a . x eringastronomy.com myct/mastering /assignment

ID: 1581129 • Letter: I

Question

inAUG: Finding the Radius of a . x eringastronomy.com myct/mastering /assignment/1819184 y HW 14 -Google Chrome ecure https://session.masteringastronomy.com/myct/itemView?assignmentProblemlD-18224486 HW 14 item 1 - Part A Use the radius-luminosity-temperature relation to calculate the radius of a red supergiant with temperature 3000 K and total luminosity 30000 times that of the Sun (Sec 17.3 in the textbook) Express your answer using two significant figures AU R 2.8 Submit wers Incorrect; Try Again; 2 attempts remaining

Explanation / Answer

R/Rs = (Ts/T)2(L/Ls)1/2

=> R/Rs = (5800/3000)2(30000)1/2

=>   R/Rs = 647.4021

now Rs = 0.00465046726 AU

=> R = 3.01072227 AU

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