Answer:
λ(max) = = 9.7 *10^-6m
Frequency(max) = 3.09 * 10^13 /s = 3.09 * 10^13 Hz
Step-by-step 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