What happens to the frequency and energy when the wavelength decreases?

When the wavelength of a wave decreases, the properties of frequency and energy change in a specific manner governed by the principles of wave mechanics and quantum physics.

As the wavelength shortens, the frequency increases. This relationship is inverse, meaning that shorter wavelengths correspond to higher frequencies. Mathematically, this can be expressed by the equation (v = f \times \lambda), where (v) is the wave speed (constant for a given medium), (f) is the frequency, and (\lambda) is the wavelength. When (\lambda) decreases, (f) must increase to maintain the equality.

In addition to frequency, energy is also directly related to frequency in quantum mechanics. The energy of a photon is described by the equation (E = h \times f), where (E) represents energy, (h) is Planck's constant, and (f) is frequency. As frequency increases due to the decrease in wavelength, the energy also increases.

Thus, when the wavelength decreases, both the frequency and energy increase, which aligns with the principles of physics governing waves and particles. This understanding is essential in contexts such as optics, sound, and electromagnetic radiation, reflecting the interrelationship