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The peak intensity of radiation from Star Beta is 350 nm What is the average surface temperature of Star Beta rounded to the nearest whole number?
To find the average surface temperature of Star Beta using its peak intensity wavelength of 350 nm, we can use Wien's Law, which states that the peak wavelength (in meters) is inversely proportional to the temperature (in Kelvin). The formula is given by ( T = \frac{b}{\lambda} ), where ( b ) is Wien's displacement constant (approximately ( 2.898 \times 10^{-3} ) m·K). Converting 350 nm to meters gives us ( 3.5 \times 10^{-7} ) m. Plugging in the values, we find that the temperature ( T ) is approximately 8285 K, which rounds to 8285 when expressed as a whole number.
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