Why do hot stars look bluer than cool stars?

(A) The wavelength that a star radiates the most energy is proportional to the temperature to the fourth power.

(B) The wavelength that a star radiates the most energy is inversely proportional to the temperature.

(C) The wavelength that a star radiates the most energy is proportional to the temperature.

(D) The wavelength that a star radiates the most energy is inversely proportional to the temperature to the fourth power

(B) The wavelength that a star radiates the most energy is inversely proportional to the temperature.

Explanation:

As we know that

According to Wien's law wavelength is inverse proportional to the temperature.

λ. T = Constant.

λ.∝ 1 / T

As we know that star radiates wavelength and this wavelength is inverse proportional to the temperature of the star.

The temperature of cool star is cooler than the temperature of hot star that is cool star looks red and hot star looks blue. Cool star have low energy and hot star have high energy.

So option B is correct.

(B) The wavelength that a star radiates the most energy is inversely proportional to the temperature.