An inverter designed to connect to the grid (grid tie inverter as mention in a comment) will do the synchronising to the grid frequency as part of its operation, also it is designed to prevent conditions like “islanding” for safety.
Even if you correctly size and purchase the correct grid tie inverter, get it professionaly installed and commissioned - most ...
Question 1 : Do the EM waves travel by creating disturbances in the
air particles such as compression and rarefaction?
No. They are an electromagnetic field. They are the same type of thing as light (and travel at the same speed). For AM/FM radio stations the only difference is that the wavelengths are a lot longer than visible light.
They can travel in ...
Do the EM waves travel by creating disturbances in the air particles such as compression and rarefaction?
Radio waves are electromagnetic waves. They propagate in the electromagnetic field itself.
They do not require any physical medium to travel through and can travel through vacuum just as well (better, actually) than through air. If EM waves couldn't ...