Calculate the wavelength and frequency at which the intensity of the radiation is a maximum for a black body at 298 k.

λ(max)  = = 9.7 *10^-6m

Frequency(max) = 3.09 * 10^13 /s = 3.09 * 10^13 Hz

Explanation:

Step 1: Data given

Temperature =  298 K

In order to find maximum wavelength and maximum frequency, apply Wien's Law of maximum wavelength * Temperature = 2.9*10^-3 meters * Kelvin

Step 2: Calculate wavelength

λ(max) * T = 2.9 *10^-3 m*K

λ(max)  = (2.9 *10^-3 m*K)/T

λ(max)  = (2.9 *10^-3 m*K)/298

λ(max)  = = 9.7 *10^-6m

Step 3: Calculate frequency

Frequency(max) = c/λ(max)

Frequency(max) = 3*10^8 m/s  / 9.7 *10^-6m

Frequency(max) = 3.09 * 10^13 /s = 3.09 * 10^13 Hz