Give example of some light sources that produce a continuous

Solution

The classical example of a continuous spectrum, from which the name is derived, is the part of the spectrum of the light emitted byexcited atoms of hydrogen that is due to free electrons becoming bound to a hydrogen ion and emitting photons, which are smoothly spread over a wide range of wavelengths.

the rainbow could be described as a spectrum, and if the spectrum goes all the way from red to violet, with no gaps, then it is a continuous spectrum. A beam of perfectly white light, like you would get under certain laboratory conditions, contains this kind of spectrum

In quantum systems, continuous spectra (as in bremsstrahlungand thermal radiation) are usually associated with free particles, such as atoms in a gas, electrons in an electron beam, or conduction band electrons in a metal. In particular, the position and momentum of a free particle have a continuous spectrum.