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What is the wavelength of a wave with a frequency of \(4.6 \times 10^{14}\) s⁻¹, and what type of wave is being referred to in this context?

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Final answer:

The wavelength of a wave with a frequency of 4.6 x 10^14 s-1 is approximately 6.52 x 10^-7 meters. The wave being referred to in this context is electromagnetic radiation.

Step-by-step explanation:

In order to find the wavelength of a wave with a frequency of 4.6 x 10^14 s-1, we can use the equation c = λ × f, where c is the speed of light and λ is the wavelength. We know that the speed of light is approximately 2.998 × 10^8 m/s. Rearranging the equation, we have λ = c / f. Substituting in the given values, we get λ = (2.998 × 10^8 m/s) / (4.6 × 10^14 s-1). Calculating this, the wavelength is approximately 6.52 × 10-7 meters.

Based on the given frequency and the fact that we're dealing with the speed of light, the wave being referred to in this context is electromagnetic radiation.

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