Yes, in general, a longer wavelength corresponds to lower energy. This relationship is known as the wave-particle duality of light and is described by the equation:
E = h * f
where E represents the energy of a photon, h is Planck's constant (a fundamental constant in physics), and f is the frequency of the wave.
Since frequency and wavelength are inversely related (f = c/λ, where c is the speed of light), it follows that a longer wavelength corresponds to a lower frequency. Consequently, using the equation E = h * f, when the frequency decreases, the energy of the wave also decreases.
It's important to note that the relationship between energy and wavelength can vary depending on the type of wave or the context in which it is considered. For example, in the electromagnetic spectrum, longer wavelengths correspond to less energetic forms of electromagnetic radiation such as radio waves, while shorter wavelengths represent more energetic forms like gamma rays.