The Sun emits its maximum intensity of light at about 520 nm.According to Wien's Law,what would the temperature of a star that emits its maximum intensity at 10⁴0 nm be?

Question

Quizplus · Accepted Answer

Wien's Law states that the wavelength of maximum intensity emitted by a body is inversely proportional to its temperature. This can be expressed as λmaxT = constant, where λmax is the wavelength of maximum intensity and T is the temperature.

For the Sun, λmax = 520 nm, so we can write:

520 × 10⁻⁹ m × T = constant

For the star that emits its maximum intensity at 10⁴⁰ nm, we have:

10⁴⁰ × 10⁻⁹ m × T = constant

Dividing the second equation by the first, we get:

(10⁴⁰ × 10⁻⁹ m)/(520 × 10⁻⁹ m) = T

T ≈ 2900 K

Therefore, the temperature of the star that emits its maximum intensity at 10⁴⁰ nm would be approximately 2900 K.

The Sun Emits Its Maximum Intensity of Light at About