A particular asymptotic giant branch star has approximately the same mass as the Sun but 100 times its radius.Compared with the Sun, what is the escape velocity from that star?
A) 0.01 times that of the Sun
B) 0.1 times that of the Sun
C) the same as that of the Sun
D) 10 times that of the Sun
E) 100 times that of the Sun

Question

Quizplus · Accepted Answer

Escape velocity is proportional to the square root of the mass-to-radius ratio. Since the star has the same mass as the Sun but 100 times the radius, the escape velocity is reduced by a factor of √100, which is 10, making it 0.1 times that of the Sun.

A Particular Asymptotic Giant Branch Star Has Approximately the Same