Final answer:
The temperature of a star can be calculated using Wien's law, which states that the temperature is inversely proportional to the peak wavelength of its spectrum.
Step-by-step explanation:
The temperature of a star can be calculated using Wien's law, which states that the temperature is inversely proportional to the peak wavelength of its spectrum. The formula for Wien's law is:
T = 2.898 × 10^6 / λ
where T is the temperature in Kelvin and λ is the wavelength in meters.
Converting the peak wavelength of 550 nm to meters, we get 0.00055 meters. Plugging this value into the formula, we can calculate the temperature as:
T = 2.898 × 10^6 / 0.00055 = 5270909.091 Kelvin
Therefore, the temperature of the star is approximately 5,270,909.091 Kelvin.