Question

If Neptune's clouds have a temperature of 60 K, at what wavelength will they radiate the most energy? (Hint: Use the Wien's law formula in Reasoning with Numbers 6-1.)​

Answer 1

Neptune's clouds will radiate the most energy at a wavelength of approximately 4.83 x 10^-5 meters.

Step-by-step explanation:

To determine the wavelength at which Neptune's clouds will radiate the most energy, we can use Wien's law, which relates the temperature of an object to the wavelength of its maximum energy emission.

Wien's law states that the wavelength at which the maximum energy is radiated is inversely proportional to the temperature of the object. The formula for Wien's law is given as:

λ = (constant) / T

Where λ is the wavelength, T is the temperature, and the constant is 2.898 x 10^-3 m·K.

Substituting the given temperature, 60 K, into the formula, we can calculate the wavelength:

λ = (2.898 x 10^-3 m·K) / 60 K

λ ≈ 4.83 x 10^-5 meters

Therefore, the wavelength at which Neptune's clouds will radiate the most energy is approximately 4.83 x 10^-5 meters.