Which of the following waves have the shortest wavelengths? gamma rays radio waves ultraviolet waves x-rays

Gamma rays

Explanation:

Electromagnetic wave is defined as the wave which is associated with both electrical and magnetic component associated with them. They can travel in vacuum as well and travel with the speed of light.

The Electromagnetic spectrum involves gamma rays , X rays, ultra violet rays, visible rays, infrared rays, micro waves and radio waves which are arranged in order of increasing wavelength and decreasing frequency.  

The relationship between wavelength and frequency of the wave follows the equation:

where,

= frequency of the wave

c = speed of light  

= wavelength of the wave

From the above relation, it is visible that wavelength and frequency follow inverse relation.

Thus the gamma rays have the shortest wavelength.