For light in vacuum, what is the relationship between frequency f and wavelength λ?

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Multiple Choice

For light in vacuum, what is the relationship between frequency f and wavelength λ?

Explanation:
Light in vacuum travels at the constant speed c. For any wave, speed equals frequency times wavelength: v = f λ. Since v is c here, f = c/λ. This shows frequency is inversely related to wavelength: longer wavelengths have lower frequencies, shorter wavelengths have higher frequencies. The units line up as well: c is in meters per second, λ is in meters, so c/λ gives s⁻¹, the unit of frequency. For a 500 nm wavelength, f ≈ 6.0 × 10¹⁴ Hz. The other forms would not match the basic relation or would give incorrect units.

Light in vacuum travels at the constant speed c. For any wave, speed equals frequency times wavelength: v = f λ. Since v is c here, f = c/λ. This shows frequency is inversely related to wavelength: longer wavelengths have lower frequencies, shorter wavelengths have higher frequencies. The units line up as well: c is in meters per second, λ is in meters, so c/λ gives s⁻¹, the unit of frequency. For a 500 nm wavelength, f ≈ 6.0 × 10¹⁴ Hz. The other forms would not match the basic relation or would give incorrect units.

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