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Chapter 5: Problem 5

For each of the following wavelengths, state whether it is in the radio, microwave, infrared, visible, ultraviolet, X-ray, or gamma-ray portion of the electromagnetic spectrum. Explain your reasoning. (a) \(2.6 \mu \mathrm{m}\), (b) \(34 \mathrm{~m}\), (c) \(0.54 \mathrm{~nm}\), (d) \(0.0032\) \(\mathrm{nm}\), (e) \(0.620 \mu \mathrm{m}\), (f) \(310 \mathrm{~nm}\), (g) \(0.012 \mathrm{~m}\).

Short Answer

Expert verified
(a) Infrared, (b) Radio Waves, (c) X-Rays, (d) Gamma Rays, (e) Visible light, (f) Ultraviolet, (g) Microwave

Step by step solution

01

Understand the Electromagnetic Spectrum

The electromagnetic spectrum is arranged from longest wavelength and lowest energy to shortest wavelength and highest energy. The order from longest to shortest wavelength can be taken as – Radio Waves > Microwave > Infrared > Visible Light > Ultraviolet > X-Ray > Gamma Rays.
02

Identify the wavelength ranges for each category

The wavelength ranges for the categories are approximately as follows: Radio Waves (bigger than 1mm), Microwave (1mm - 0.01mm), Infrared (0.01mm - 700nm), Visible Light (700nm - 400nm), Ultraviolet (400nm - 10nm), X-ray (10nm - 0.01), Gamma Rays (smaller than 0.01nm) . These ranges are only approximate and vary in different sources.
03

Categorize given wavelengths

(a) \(2.6 \mu \mathrm{m}\) = 2600nm falls in the Infrared. (b) \(34 \mathrm{~m}\) falls in the Radio Waves. (c) \(0.54 \mathrm{~nm}\) falls in the X-Rays. (d) \(0.0032\) \(\mathrm{nm}\) falls in the Gamma Rays. (e) \(0.620 \mu \mathrm{m}\) = 620nm falls in the Visible Light. (f) \(310 \mathrm{~nm}\) falls in the Ultraviolet. (g) \(0.012 \mathrm{~m}\) = 12mm falls in the Microwave.

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