The table below gives observational data for the blue supergiant star Rigel and the Sun.
Table 1
| Name | Radius / m\text{m}m | Surface temperature / K\text{K}K |
|---|---|---|
| Rigel | 8.4×10108.4 \times 10^{10}8.4×1010 | 24 00024\,00024000 |
| Sun | 7.0×1087.0 \times 10^{8}7.0×108 | 6 0006\,0006000 |
Calculate the ratio:
power output of Rigelpower output of the Sun \frac{\text{power output of Rigel}}{\text{power output of the Sun}} power output of the Sunpower output of RigelDiscuss the evolutionary path of a supergiant star like Rigel, and explain why its ultimate fate could pose a severe hazard to life on Earth if it were located in our local stellar neighborhood.