Multiple Choice
Which of the following wavelengths corresponds to the longest wavelength of radiation that has enough energy to break a carbon-carbon single bond (bond energy ≈ 348 kJ/mol)?
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9. Quantum Mechanics
Wavelength and Frequency
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Which of the following types of electromagnetic radiation has the shortest wavelength?
A
Visible light
B
Infrared radiation
C
Gamma rays
D
Microwaves
Verified step by step guidance1
Recall that electromagnetic radiation types differ primarily in their wavelength and frequency, with wavelength and frequency inversely related by the equation \(\lambda = \frac{c}{\nu}\), where \(\lambda\) is wavelength, \(c\) is the speed of light, and \(\nu\) is frequency.
Understand that gamma rays have the highest frequency and therefore the shortest wavelength among the electromagnetic spectrum types listed.
Compare the given options: visible light, infrared radiation, microwaves, and gamma rays, noting that microwaves have the longest wavelength, followed by infrared, then visible light, and finally gamma rays with the shortest wavelength.
Use the electromagnetic spectrum order to confirm that gamma rays are at the extreme high-frequency, low-wavelength end of the spectrum.
Conclude that among the options, gamma rays have the shortest wavelength due to their position on the electromagnetic spectrum.
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