Which of the following statements is true? a) Two stars have equal luminosity. O

Question

Which of the following statements is true?

a) Two stars have equal luminosity. One has a surface temperature of 6000 K. The other has a radius nine times that of the first star, and a surface temperature of 3000 K.

b) According to the main sequence mass-luminosity relation a main sequence star of mass 3.5 M(solar) will have a luminosity of 3.5 L(solar).

c) One star has a luminosity of 4 L(solar). Another star with a luminosity of 1.0 L(solar) lies at twice the distance from the observer. The two stars have the same apparent magnitude.

d) Two stars have equal temperature. The radius of one is twice the radius of the other. The absolute magnitude of the larger star is 1.5 magnitudes brighter than that of the smaller star.

Explanation / Answer

b) According to the main sequence mass-luminosity relation a main sequence star of mass 3.5 M(solar) will have a luminosity of 3.5 L(solar).

c) One star has a luminosity of 4 L(solar). Another star with a luminosity of 1.0 L(solar) lies at twice the distance from the observer. The two stars have the same apparent magnitude.

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