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Agree or disagree? Why or why not?

"As the wavelength of an electromagnetic wave gets larger, the frequency increases and the energy of the wave increases. There is a direct relationship between wavelength, frequency and energy."

1 Answer

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Final answer:

The statement is incorrect because wavelength and frequency are inversely related; as wavelength increases, frequency and the energy of an electromagnetic wave decrease. Energy is directly proportional to frequency and inversely proportional to wavelength.

Step-by-step explanation:

I disagree with the statement "As the wavelength of an electromagnetic wave gets larger, the frequency increases and the energy of the wave increases. There is a direct relationship between wavelength, frequency, and energy." The correct relationship between these properties is that as wavelength increases, the frequency decreases, and consequently, the energy also decreases. This is because wavelength and frequency have an inverse relationship since all electromagnetic waves travel at the speed of light. The energy of an electromagnetic wave is directly proportional to its frequency and inversely proportional to its wavelength.

The relationship between wavelength, frequency, and energy is described by the equation E = hf, where E is energy, h is Planck's constant and f is frequency. Since frequency is inversely proportional to wavelength (λ), where f = c/λ (c is the speed of light in a vacuum), it follows that energy is also inversely proportional to wavelength. Therefore, with an increase in wavelength, there's a decrease in frequency and a decrease in energy.

For instance, radio waves that have longer wavelengths have lower frequencies and energies compared to visible light which has shorter wavelengths, higher frequencies, and higher energies in the electromagnetic spectrum.

User Michael Crook
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