In each case, given the frequency, give the wavelength in...

In each case, given the frequency, give the wavelength in centimeters or nanometers and tell what kind of radiation it is.
(a) $7.5 \times 10^{14} / \mathrm{s}$
(b) $1.0 \times 10^{10} / \mathrm{s}$
(c) $1.1 \times 10^{15} / \mathrm{s}$
(d) $1.5 \times 10^{18} / \mathrm{s}$

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Key Concepts

Wave Equation (c = ??)

This concept involves the fundamental relationship between the speed of light (c), wavelength (?), and frequency (?) in electromagnetic waves. The equation c = ?? is used to calculate one of these quantities if the other two are known, and it is essential for linking the frequency of radiation to its corresponding wavelength.

Electromagnetic Spectrum

This concept covers the range of all types of electromagnetic radiation, from long-wavelength radio waves to short-wavelength gamma rays. Each region of the spectrum (e.g., radio, microwave, infrared, visible, ultraviolet, x-rays, gamma rays) is defined by specific ranges of wavelengths and frequencies, which are critical for identifying the type of radiation based on its frequency or wavelength.

Unit Conversions

This concept involves converting between different units of length, such as meters, centimeters, and nanometers, which is often necessary when dealing with electromagnetic wavelengths. Correct unit conversion ensures accurate communication and understanding of the scale of wavelengths across different regions of the electromagnetic spectrum.

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