This question is about analysing the electromagnetic radiation from the star Sigma Phoenicis.
The peak wavelength of electromagnetic radiation from Sigma Phoenicis is 330 nm330 \text{ nm}330 nm. The surface temperature of the Sun is 5800 K5800 \text{ K}5800 K and the wavelength at which its maximum intensity is emitted is 500 nm500 \text{ nm}500 nm.
The luminosity of Sigma Phoenicis is 5.2×1028 W5.2 \times 10^{28} \text{ W}5.2×1028 W.
Show that the surface temperature of Sigma Phoenicis is approximately 8800 K8800 \text{ K}8800 K.
Estimate the radius of Sigma Phoenicis.
Electromagnetic radiation is collected from Sigma Phoenicis by a sensor on Earth with an efficiency of 12%12\%12% and cross-sectional area 3.5×10−4 m23.5 \times 10^{-4} \text{ m}^23.5×10−4 m2. The radiant power detected by the sensor is 8.4×10−15 W8.4 \times 10^{-15} \text{ W}8.4×10−15 W.
Calculate the intensity (radiant power per unit area) of the radiation arriving at the sensor from Sigma Phoenicis.
Calculate the distance of Sigma Phoenicis from Earth in light years.
