Energy of Photons & Mechanical/Light Waves: Amplitude & Frequency

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Photons have energy defined by the equation E = hf, where h is Planck's constant and f is frequency, indicating that their energy is solely dependent on frequency. In contrast, mechanical and light waves derive their energy from both frequency and amplitude, meaning that higher frequency and greater amplitude both contribute to increased energy. The amplitude of a photon does not influence its energy, unlike mechanical and light waves where amplitude plays a significant role. Thus, while photon energy is directly proportional to frequency alone, mechanical and light wave energy relies on both frequency and amplitude. This distinction highlights fundamental differences in how energy is quantified across different types of waves.
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Homework Statement



Photons have energy E = h f (Planck constant h = 6.626 x 10-34 Joules*sec).
The energy of mechanical waves and laser light (or light wave) depend on their amplitude and frequency
Explain in detail how
the energy of a photon and the energy of mechanical and light waves compare insofar as their
dependence on amplitude and frequency.

Homework Equations





The Attempt at a Solution


I am not sure how to find the energy of both mechanical and light waves. Is there an equation like the one for photons?
 
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The energy of a photon is directly proportional to its frequency, meaning that the higher the frequency, the more energy it contains. The amplitude of a photon has no effect on the energy it contains. In contrast, the energy of mechanical and light waves depend on both the frequency and the amplitude. The higher the frequency, the more energy the wave contains. Additionally, the greater the amplitude, the more energy the wave contains. Therefore, the energy of a photon and the energy of mechanical and light waves differ in their dependence on amplitude and frequency: the energy of a photon is solely dependent on its frequency while the energy of mechanical and light waves are dependent on both frequency and amplitude.
 
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