Question

what is the frequency of light having a wavelength of 691 nm? what is the wavelength(in nm) of radiation having a frequency of 4.29*10^9 Hz?

Answer 1

Answer on Question #51550 – Chemistry – Organic Chemistry

Question:

What is the frequency of light having a wavelength of 691 nm? What is the wavelength(in nm) of radiation having a frequency of $4.29*10^9$ Hz?

Answer:

Frequency and wavelength are related by the following equation:

$$c = f * \lambda$$

The frequency of the light is $f = c / \lambda$, where $c$ – is the speed of light.

$$f = 3 * 10^8 / 691 * 10^{-9} = 4.342 * 10^{14} = 4.34 * 10^{14} \, \text{s}^{-1} = 4.34 * 10^{14} \, \text{Hz}$$ $$\lambda = 3 * 10^8 / 4.29 * 10^9 = 0.0699 = 69900000 \, \text{nm}$$

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