Problem 8
Question
Which end (blue or red) of the visible spectrum has the longer wavelength? Which has the higher frequency?
Step-by-Step Solution
Verified Answer
Red has the longer wavelength, and blue has the higher frequency.
1Step 1: Understanding the Visible Spectrum
The visible spectrum is the portion of the electromagnetic spectrum that is visible to the human eye. It includes all the colors that can be seen by humans, ranging from violet to red. Each color corresponds to a different wavelength and frequency.
2Step 2: Identifying Wavelength in the Spectrum
In the visible spectrum, red light has the longest wavelength, typically around 700 nm (nanometers), while violet or blue light has the shortest wavelength, around 400 nm. Therefore, red light represents the end of the visible spectrum with longer wavelengths.
3Step 3: Identifying Frequency in the Spectrum
Frequency is inversely related to wavelength, meaning that light with a shorter wavelength has a higher frequency. Since blue light has a shorter wavelength compared to red light, it consequently has a higher frequency.
Key Concepts
WavelengthFrequencyElectromagnetic Spectrum
Wavelength
Wavelength is an essential property of waves, including those found in the visible spectrum. The wavelength of a wave is the distance between consecutive peaks or troughs. It is often measured in nanometers (nm) for light waves. Understanding the wavelength gives insight into the color of the light in the visible spectrum. Longer wavelengths correspond to colors like red and orange, while shorter wavelengths are associated with violet and blue.
The range of wavelengths within the visible spectrum is approximately from 400 nm (violet) to 700 nm (red). Thus, red light has the longest wavelength in the visible spectrum.
The range of wavelengths within the visible spectrum is approximately from 400 nm (violet) to 700 nm (red). Thus, red light has the longest wavelength in the visible spectrum.
- Long wavelength = red light
- Short wavelength = violet/blue light
Frequency
The frequency of a wave is another critical attribute, representing the number of wave cycles that pass a point in one second. It is usually measured in hertz (Hz). Frequency is inversely proportional to wavelength, which means that the longer the wavelength, the lower the frequency, and vice versa.
For the visible spectrum, this implies that red light, with its long wavelength, has a lower frequency than blue light. Contrarily, blue or violet light with shorter wavelengths has a higher frequency.
For the visible spectrum, this implies that red light, with its long wavelength, has a lower frequency than blue light. Contrarily, blue or violet light with shorter wavelengths has a higher frequency.
- Higher frequency = blue/violet light
- Lower frequency = red light
Electromagnetic Spectrum
The electromagnetic spectrum encompasses all types of electromagnetic radiation, with visible light being just a small part of it. This spectrum ranges from very long wavelengths (such as radio waves) to extremely short wavelengths (like gamma rays). Each segment of the electromagnetic spectrum corresponds to a different type of electromagnetic phenomenon.
Visible light, detectable by the human eye, sits between the ultraviolet (shorter wavelength) and the infrared (longer wavelength) parts of the spectrum. The visible spectrum includes the rainbow of colors, from violet to red, with varying wavelengths and frequencies. By understanding where visible light falls in the electromagnetic spectrum, we can better appreciate its unique properties and how it interacts with different materials and environments.
Visible light, detectable by the human eye, sits between the ultraviolet (shorter wavelength) and the infrared (longer wavelength) parts of the spectrum. The visible spectrum includes the rainbow of colors, from violet to red, with varying wavelengths and frequencies. By understanding where visible light falls in the electromagnetic spectrum, we can better appreciate its unique properties and how it interacts with different materials and environments.