in which range is the peak wavelength of a star that is much hotter than the sun most likely to be?\nradio…
in which range is the peak wavelength of a star that is much hotter than the sun most likely to be?\nradio waves\ninfrared radiation\nmicrowaves\nultraviolet light
Answer
Answer:
ultraviolet light
Explanation:
Step1: Recall Wien's displacement law
The law states $\lambda_{max}T = b$, where $\lambda_{max}$ is the peak - wavelength, $T$ is the temperature of the black - body, and $b$ is Wien's displacement constant ($b = 2.898\times10^{-3}\ m\cdot K$).
Step2: Analyze the relationship between temperature and wavelength
As the temperature $T$ increases, the peak - wavelength $\lambda_{max}$ decreases. The Sun emits most of its radiation in the visible range. A star much hotter than the Sun will have a shorter peak - wavelength.
Step3: Compare the wavelengths of different electromagnetic waves
Radio waves have long wavelengths ($\lambda\gt1\ mm$), microwaves have wavelengths in the range of $1\ mm - 1\ m$, infrared radiation has wavelengths in the range of $700\ nm - 1\ mm$, and ultraviolet light has wavelengths in the range of $10\ nm - 400\ nm$. Shorter than visible light (which the Sun peaks in), a hotter star will peak in the ultraviolet range.