A star located $153000$ light years from Earth $(1$ light year $1016$ m$)$ has a power output $8$ million times that of the Sun with a mass $300$ times that of the Sun. The intensity of the Sun$$s radiation at the location of the Earth is $1400$ W$/$m$2$ where the average distance between the Sun and earth is $1\mathrm{.}5$ x $1011$ m$.($a$)$ What is the power output of this star? $($b$)$ Assuming a wavelength, l$,$ of $500$ nm$.$ Find the number of photons crossing the pupil of your eye each second coming from this star. Assume a circular cross$-$section of the pupil with a radius of $4$ mm$.($c$)$ If the density of cone cells in your eye receiving the light is $1\mathrm{.}50$ x $105$ cones$/$mm$2.$ What is the rate at which photons arrive on a single cone cell and the resulting time between the arrival of photons on a single cone cell?