At what wavelength would a star radiate the greatest amount of energy if the star has a surface temperature of 10,000 K
A)10 nm
B)100 nm
C)300 nm
D)$1.0 × 10^4$ nm
E)$3.0 × 10^{10}$ nm

Question

Quizplus · Accepted Answer

According to Wien's Law, the wavelength of the peak radiation corresponds to the temperature of the source. Using the equation λ_max = b/T, where b is Wien's constant (2.898 × 10^-3 m K), we can find the wavelength at which the star radiates the most energy: λ_max = 2.898 × 10^-3 m K / 10,000 K = 2.898 × 10^-7 m = 289.8 nm. This is closest to choice C, 300 nm.

At What Wavelength Would a Star Radiate the Greatest Amount 1.0×1041.0 × 10^41.0×104

At What Wavelength Would a Star Radiate the Greatest Amount $1.0 × 10^4$