---
title: "An electromagnetic wave propagating in a vacuum has a frequency of \\(f = 3.0 \\times 10^{14} \\text{ Hz}\\). A logarithmic frequency diagram of the electromagnetic spectrum is shown. What is the wavelength of this wave in a vacuum, and in which region of the spectrum is it located?"
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date_modified: "2026-08-04T05:25:22+00:00"
---

# An electromagnetic wave propagating in a vacuum has a frequency of \(f = 3.0 \times 10^{14} \text{ Hz}\). A logarithmic frequency diagram of the electromagnetic spectrum is shown. What is the wavelength of this wave in a vacuum, and in which region of the spectrum is it located?

An electromagnetic wave propagating in a vacuum has a frequency of \(f = 3.0 \times 10^{14} \text{ Hz}\). A logarithmic frequency diagram of the electromagnetic spectrum is shown. What is the wavelength of this wave in a vacuum, and in which region of the spectrum is it located?

![A horizontal logarithmic axis showing electromagnetic wave frequency f in Hz, ranging from 10^8 Hz to 10^20 Hz. Distinct rectangular bands mark different spectrum regions from left to right: Radio (f < 10^9 Hz), Microwave (10^9 Hz to 10^11 Hz), Infrared (10^11 Hz to 4.0 x 10^14 Hz), Visible light (4.0 x 10^14 Hz to 7.5 x 10^14 Hz), Ultraviolet (7.5 x 10^14 Hz to 10^16 Hz), X-rays (10^16 Hz to 10^19 Hz), and Gamma rays (f > 10^19 Hz). Tick marks label each power of ten along the axis. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785821122-RpPOWi.jpg)

- **A.** Wavelength: \(1.0 \times 10^{-6} \text{ m}\); Region: Ultraviolet
- **B.** Wavelength: \(1.0 \times 10^{6} \text{ m}\); Region: Infrared
- **C.** Wavelength: \(1.0 \times 10^{-6} \text{ m}\); Region: Infrared
- **D.** Wavelength: \(9.0 \times 10^{22} \text{ m}\); Region: Ultraviolet

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116639/*