Question

Find the temperature a star with peak radiation of 4*10⁻¹⁰nm.

Answer 1

To find the temperature of a star with a peak radiation wavelength of 290 nm, we can use Wien's law. The temperature of the star is 10 K.

Step-by-step explanation:

To find the temperature of a star whose maximum light is emitted at a much shorter wavelength of 290 nm, we can use Wien's law. According to Wien's law, the wavelength of peak intensity is inversely proportional to the temperature. The equation for Wien's law is:

λ_max = (b / T)

Where λ_max is the wavelength of peak intensity, T is the temperature, and b is Wien's constant (approximately 2.9 × 10^-3 nm·K).

Let's plug in the given wavelength value:

290 nm = (2.9 × 10^-3 nm·K / T)

Solving for T:

T = (2.9 × 10^-3 nm·K) / (290 nm)

T = 10 K

So, the temperature of the star is 10 K.