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Chapter 6: Problem 18

List the following types of electromagnetic radiation in order of descending wavelength: (a) UV lights used in tanning salons \((300-400 \mathrm{nm}) ;\) (b) radiation from an FM radio station at \(93.1 \mathrm{MHz}\) on the dial; (c) radiation from mobile phones \((450-2100 \mathrm{MHz}) ;\) (d) the yellow light from sodium vapor streetlights; (e) the red light of a light-emitting diode, such as in an appliance's display.

Short Answer

Expert verified
The types of radiation in descending order of wavelengths are: 1. Radiation from an FM radio station at 93.1 MHz: 3.22 m 2. Radiation from mobile phones: 0.143 - 0.667 m 3. Red light from a LED: 620 - 750 nm (0.000620 - 0.000750 m) 4. Yellow light from sodium vapor streetlights: 570 - 590 nm (0.000570 - 0.000590 m) 5. UV lights used in tanning salons: 300 - 400 nm (0.000300 - 0.000400 m)

Step by step solution

01

Calculate the wavelengths for each type of radiation

(a) UV lights used in tanning salons (300-400 nm) - Already given in terms of wavelength. (b) Radiation from an FM radio station at 93.1 MHz - Convert frequency to wavelength: Wavelength = \(\frac{3 \times 10^8 m/s}{93.1 \times 10^6 Hz}\) = \(3.22 m\). (c) Radiation from mobile phones (450-2100 MHz) - Convert frequencies to wavelengths: Wavelength range = \(\frac{3 \times 10^8 m/s}{2100 \times 10^6 Hz}\) to \(\frac{3 \times 10^8 m/s}{450 \times 10^6 Hz} = 0.143 m - 0.667 m\). (d) The yellow light from sodium vapor streetlights: Yellow light has a wavelength range of approximately 570-590 nm. (e) The red light of a LED: Red light typically has a wavelength range of approximately 620-750 nm.
02

Arrange the wavelengths in descending order

Now that we have the wavelengths for all types of radiation, we can list them in descending order: 1. Radiation from an FM radio station at 93.1 MHz: 3.22 m 2. Radiation from mobile phones: 0.143 - 0.667 m 3. Red light from a LED: 620 - 750 nm (0.000620 - 0.000750 m) 4. Yellow light from sodium vapor streetlights: 570 - 590 nm (0.000570 - 0.000590 m) 5. UV lights used in tanning salons: 300 - 400 nm (0.000300 - 0.000400 m) So, the types of radiation in descending order of wavelengths are: FM radio station, mobile phone radiation, LED red light, sodium vapor yellow light, and tanning salon UV light.

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