Question

Estimate the luminosity of a 3 -solar-mass main-sequence star; of a 9 -solar-mass main-sequence star. Can you easily estimate the luminosity of a 3 -solar-massred giant star?

Answer 1

Answer:

a) 46.76 Lsun

b) 2187 Lsun

c ) You can easily estimate the luminosity of a 3-solar massed giant star because its luminosity is close to the luminosity of the sun

Explanation:

To estimate the luminosity of a celestial body in terms of solar luminosity  we use the expression below

= $\frac{L}{Lsun} = (\frac{M}{Msun} )^{3.5}$

a) Estimate the luminosity of a 3 solar mass main sequence star

= $\frac{L}{Lsun} = (\frac{3M}{Msun} )^{3.5}$

Hence  ; L(luminosity of a 3 solar mass star ) = 46.76  Lsun

b) Estimate the luminosity of a 9-solar-mass main sequence star

= $\frac{L}{Lsun} = (\frac{9M}{Msun} )^{3.5}$

hence L( luminosity of a 9-solar mass star ) =  2187 Lsun

c ) You can easily estimate the luminosity of a 3-solar massed giant star because its luminosity is close to the luminosity of the sun