Let us assume that the definition of frequency, wavelength and wave speed is determined by the function
[tex]f = \frac{v}{\lambda}[/tex]
Here,
v = Velocity of wave
[tex]\lambda[/tex] = Wavelength
f = Frequency
We know that the earth has the ability to absorb visible light but that it can also emit a longer radiation wavelength. This assessment allows us to confirm that option A. Is correct. In turn, if said wavelength is large, being inversely proportional to the frequency,
[tex]\lambda \propto \frac{1}{f}[/tex]
This does tend to be lower radiation. The correct options are:
A.The earth absorbs visible light and emits radiation with a longer wavelength.
B.The earth absorbs visible light and emits radiation with a lower frequency.