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------------------------------------------------ What is the wavelength of electromagnetic radiation with a frequency of [tex]6.00 \times 10^9 \text{ Hz}[/tex]?

The wavelength of electromagnetic radiation with a frequency of 6.00 x 10⁹ Hz is approximately 49970 nm, calculated using the formula λ = c / f where c is the speed of light (2.998 x 10⁸ m/s).

Explanation:

To calculate the wavelength of electromagnetic radiation with a given frequency, we use the relationship between wavelength (λ), frequency (f), and the speed of light (c). Since the speed of light in a vacuum is always 2.998 × 10⁸ m/s, and the frequency (f) is provided as 6.00 × 10⁹ Hz, we can rearrange the formula c = fλ to solve for wavelength (λ).

λ = c / f

By substituting the given values into the formula:

λ = (2.998 × 10⁸ m/s) / (6.00 × 10⁹ Hz)

The calculation yields:

λ = 0.04997 m, or, converting meters to nanometers for practical use, 49970 nm.

Hence, the wavelength of electromagnetic radiation with a frequency of 6.00 × 10⁹ Hz is approximately 49970 nm.

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