Compared with the peak wavelength given off by the Sun, what is the peak wavelength given off by a hotter star?
1 answer:
Answer:
A. Shorter in wavelength and higher in energy
Explanation:
The peak wavelength of a star can be found by using Wien's displacement law:
where
b is the Wien's displacement constant
T is the surface temperature of the star
From the equation, we see that the peak wavelength is inversely proportional to the temperature: therefore, a star which is hotter then the sun (greater T) will have shorter wavelength.
Moreover, the energy of the emitted radiation is inversely proportional to the wavelength:
where h is the Planck constant, c is the speed of light. Therefore, shorter wavelength means higher energy.
So, the correct answer is
A. Shorter in wavelength and higher in energy
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