Question

the graph shows the distribution of energy emitted by a star. which is the best conclusion to draw about the star? it has a lower temperature than the sun because its peak wavelength is longer than the suns. it has a lower temperature than the sun because its peak wavelength is shorter than the suns. it has a higher temperature than the sun because its peak wavelength is longer than the suns. it has a higher temperature than the sun because its peak wavelength is shorter than the suns.

Explanation:

Step1: Recall Wien's displacement law

According to Wien's displacement law, $\lambda_{max}T = b$, where $\lambda_{max}$ is the peak - wavelength, $T$ is the temperature of the black - body (in this case, the star), and $b$ is Wien's displacement constant. This law implies an inverse relationship between the peak - wavelength of the emitted radiation and the temperature of the object.

Step2: Analyze the relationship between peak - wavelength and temperature

If a star has a shorter peak - wavelength compared to the Sun, its temperature is higher because from $\lambda_{max}T = b$, when $\lambda_{max}$ is smaller, $T$ must be larger to keep the product constant. Conversely, if the peak - wavelength is longer, the temperature is lower.

Answer:

It has a lower temperature than the Sun because its peak wavelength is longer than the Sun's.