\(AM radio waves<FM radio waves<Gamma rays<Micro waves\)
Step 1: Gamma rays have the shortest wavelengths in the electromagnetic spectrum.
Step 2: Microwaves have longer wavelengths than gamma rays but shorter than radio waves.
Step 3: Within radio waves, FM waves have shorter wavelengths compared to AM waves.
Step 4: Thus, the correct order from shortest to longest wavelength is gamma rays, microwaves, FM radio waves, and AM radio waves.
Calculate the wavelength of the first two lines in the Balmer series of the hydrogen atom.