The energy of electromagnetic waves is directly proportional to their frequency. This relationship is given by the equation:
\[ E = h \cdot f \]
where \( E \) is the energy, \( h \) is Planck's constant, and \( f \) is the frequency. Therefore, waves with higher frequencies have higher energy.
The electromagnetic spectrum, in order of increasing frequency (and thus increasing energy), is generally arranged as follows:
From this list, we can see that microwaves have a lower frequency than infrared, visible light, and gamma rays.
Since energy is directly proportional to frequency, the wave with the lowest frequency will have the lowest energy. Among the options provided:
Microwaves have the lowest frequency and therefore the lowest energy.
\(\boxed{\text{microwaves}}\)
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