Final answer:
A hotter star emits more radiation at all wavelengths, has a higher frequency of peak emission in its spectrum, radiates energy at multiple wavelengths, and exhibits a continuous spectrum with a shift from red to blue as temperature increases according to Wien's and Stefan-Boltzmann's laws.
Therefore, the correct options are:
a) emit more radiation at all wavelgenths
b) have a higher frequence of peak emmision in its spectrum
d) exhibhit a continious spectrum.
Step-by-step explanation:
When considering the electromagnetic radiation emitted by two stars, several key principles drawn from physics can be applied to understand their differences.
According to Wien's law and the Stefan-Boltzmann law, a hotter star will:
- Emit more radiation at all wavelengths compared to a cooler star due to more collisions between atoms that give off more energy.
- Have a higher frequency of peak emission in its spectrum, which is a result of the fact that higher temperatures correlate with shorter wavelengths at which the maximum power is emitted, implying higher frequencies.
- Radiate energy at more than one wavelength, as stars emit a range of electromagnetic radiation across various wavelengths, not limited to a single wavelength.
- Exhibit a continuous spectrum, where the shift toward the ultraviolet with temperature causes the visible appearance to shift from red to white to blue as temperature increases, demonstrating the full range of emitted wavelengths.