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Question
today is: thursday 12-4-25
warm up
describe the electromagnetic spectrum in terms of
frequency, wavelength, and energy.
The electromagnetic spectrum is a range of electromagnetic waves ordered by frequency ($f$), wavelength ($\lambda$), and energy ($E$). Key relationships: $c = f\lambda$ (speed of light $c$ is constant, so $\lambda$ inversely proportional to $f$) and $E = hf$ (Planck’s constant $h$, so $E$ directly proportional to $f$). From low to high $f$ (high to low $\lambda$): radio waves (low $f$, long $\lambda$, low $E$), microwaves, infrared, visible light (ROYGBIV: red=low $f$/long $\lambda$ to violet=high $f$/short $\lambda$), ultraviolet, X-rays, gamma rays (high $f$, short $\lambda$, high $E$).
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The electromagnetic spectrum consists of waves spanning from radio waves (low frequency, long wavelength, low energy) to gamma rays (high frequency, short wavelength, high energy). Frequency and wavelength are inversely related ($c = f\lambda$), while energy is directly proportional to frequency ($E = hf$). Visible light is a small segment between infrared and ultraviolet.