# What is the speed of light in water if at a frequency of 440 THz the wavelength is 0.51 μm?

May 30, 2021 | education

| Given: ν (frequency of the speed of light in water) = 440 THz (440 * 1012 Hz); λ (wavelength of light in water) = 0.51 microns (0.51 * 10 ^ -6 m).

The speed of light in water will be equal to the product of its vibration frequency and wavelength: υ = λ * ν.

Calculation: υ = 0.51 * 10 ^ -6 * 440 * 10 ^ 12 = 224.4 * 10 ^ 6 m / s (224.4 * 10 ^ 3 km / s).

Answer: According to calculations, light in water will propagate at a speed of 224.4 * 10 ^ 6 m / s.

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