Question

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Answer 1

Answer:

The energy of a wave is inversely proportional to the wavelength of the wave.

As wavelength increases, the energy of the wave decreases.

As wavelength decreases, the energy of the wave increases.

Explanation:

The energy of a wave is directly proportional to the wave's frequency. As frequency increases, so does the energy of the wave.

$E\propto f$ (energy $E$ is proportional to frequency $f$)

How is this related to wavelength?

Frequency is inversely proportional to wavelength. That means that as frequency increases, wavelength decreases and as frequency decreases, wavelength increases.

$f\propto \frac{1}{\lambda}$ (frequency $f$ is inversely proportional to wavelength $\lambda$)

Therefore, as wavelength increases, the energy of a wave decreases and as wavelength decreases, the energy of a wave increases.

$E\propto f\propto \frac{1}{\lambda}$