The wavelengths of visible light range from about 380 nm to about 750 nm. (a) What is the range

step 1 Here we're going to practice a bit with the energy relationship for photons. So photons are litt

The wavelengths of visible light range from about 380 nm to...

The wavelengths of visible light range from about $380 \mathrm{nm}$ to about $750 \mathrm{nm}$. (a) What is the range of photon energies (in eV) in visible light? (b) A typical FM radio station's broadcast frequency is about $100 \mathrm{MHz}$. What is the energy of an FM photon of that frequency?

The wavelengths of visible light range from about $380 \mathrm{nm}$ to about $750 \mathrm{nm}$.
(a) What is the range of photon energies (in eV) in visible light? (b) A typical FM radio station's broadcast frequency is about $100 \mathrm{MHz}$. What is the energy of an FM photon of that frequency?

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Key Concepts

Frequency and Wavelength Relationship

This principle explains the inverse relationship between wavelength and frequency through the equation c = ?f. It is crucial for understanding how changes in wavelength (or frequency) affect the energy of a photon, particularly evident when comparing high-energy visible light photons with lower-energy radio photons.

Energy Unit Conversion (Joules to Electron Volts)

When calculating photon energies, results are often initially in Joules but are frequently converted to electron volts (eV), a convenient unit in atomic and quantum physics. The conversion process uses the factor 1 eV = 1.602×10?¹? Joules.

Photon Energy Calculation

This concept involves determining the energy of a photon using the relationship E = hc/? or E = hf, where h is Planck's constant, c is the speed of light, ? is the wavelength, and f is the frequency. It underpins quantum mechanics by linking the quantization of light to its energy content.

Electromagnetic Spectrum

The electromagnetic spectrum is the complete range of wavelengths and frequencies of electromagnetic radiation. Visible light occupies a specific segment of this spectrum, with wavelengths from about 380 nm to 750 nm, each corresponding to different photon energies.

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