When light consisting of 7 colours falls on a glass prism,each colour in it is refracted by a different angle,with the result that 7 colours are spread out to form a spectrum.
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A spectrum is a condition that is not limited to a specific set of values but can vary infinitely within a continuum.

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A spectrum is a band of frequencies that are emitted by an object.  It is the range of frequencies or wavelengths of electromagnetic radiation present in a given sample.

The light that we receive from the Sun has a vast range of frequencies (including infrared, red, violet, green, blue, yellow , ultra violet, ...).  These wavelengths ordered in increasing or decreasing order will be called the spectrum of Sun light.

Hydrogen gas emits radiation when the atoms are given some energies through heating or by light falling on them.  The ordered sequence  of all the wavelengths (or frequencies) emitted by Hydrogen gas molecules is called the Hydrogen spectrum.

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