Does the speed of light in air depends on wavelength and light frequency

The answer is
Neither the speed of light in air is going to stay the same no matter what wavelength or frequency

In your problem which states and ask if the speed of light in air depends on wavelength and light frequency, base on my own research and further understanding about it, I would say that the speed of light travels slower in air because of the particle that is present in the air. 

The objects are acted upon by only one force. gravity. mass times the acceleration of gravity (-9.81meters/second squared).