Physics

Physics

Problem

Which statement best describes the relationship between the wavelength λ\lambda of electromagnetic radiation and its frequency ν\nu when the radiation propagates in vacuum? a) λ\lambda is directly proportional to ν\nu. b) λ\lambda is inversely proportional to ν\nu. c) λ\lambda is independent of ν\nu because the speed of light is constant. d) λ\lambda is proportional to ν2\nu^{2}.
Intuitive explanation

The key is recognizing that all electromagnetic waves travel at the same speed in vacuum—the speed of light cc. Since speed equals wavelength times frequency (c=λνc = \lambda \nu), wavelength and frequency are inversely proportional: as one increases, the other must decrease to keep their product constant. This single relationship governs the entire electromagnetic spectrum, from radio waves to gamma rays.

Intuitive explanation

The key is recognizing that all electromagnetic waves travel at the same speed in vacuum—the speed of light cc. Since speed equals wavelength times frequency (c=λνc = \lambda \nu), wavelength and frequency are inversely proportional: as one increases, the other must decrease to keep their product constant. This single relationship governs the entire electromagnetic spectrum, from radio waves to gamma rays.

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