Chapter 5: Problem 40
Which has the higher frequency: blue light or violet light?
Short Answer
Expert verified
Violet light has a higher frequency than blue light.
Step by step solution
01
Understanding Light Frequency
Light with shorter wavelengths has higher frequency, and light with longer wavelengths has lower frequency. This is described by the equation \( f = \frac{c}{\lambda} \), where \( f \) is the frequency, \( c \) is the speed of light, and \( \lambda \) is the wavelength.
02
Identify Wavelengths of Colors
Blue light typically has a wavelength ranging approximately from 450 nm to 495 nm, while violet light has an even shorter wavelength ranging from around 380 nm to 450 nm.
03
Compare Wavelengths
Since violet light has a shorter wavelength compared to blue light, it implies that violet light has a higher frequency than blue light, because frequency is inversely proportional to wavelength.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Understanding Wavelength
The wavelength of light is a fundamental aspect of how we perceive different colors. Wavelength, denoted by \( \lambda \), is the distance between two consecutive peaks or troughs of a wave. It is commonly measured in nanometers (nm) when discussing light. A shorter wavelength indicates that the wave cycles more frequently in a given time period, while a longer wavelength means fewer cycles within the same period. This concept is crucial in distinguishing colors within the visible spectrum.
In the electromagnetic spectrum, light waves with shorter wavelengths have higher energy. Wavelengths can determine both the type and energy of electromagnetic radiation, ranging from radio waves with the longest wavelengths to gamma rays with the shortest.
In the electromagnetic spectrum, light waves with shorter wavelengths have higher energy. Wavelengths can determine both the type and energy of electromagnetic radiation, ranging from radio waves with the longest wavelengths to gamma rays with the shortest.
- Wavelengths determine the wave's color and energy.
- Shorter wavelengths have higher frequencies.
- Measured in nanometers for light.
Exploring the Electromagnetic Spectrum
The electromagnetic spectrum encompasses all types of electromagnetic radiation. Light is just one part of this spectrum. It ranges from very low-frequency radio waves to extremely high-frequency gamma rays. The visible part of this spectrum, which is what human eyes can perceive, is a tiny segment where different wavelengths correspond to different colors.
Each type of electromagnetic wave has its place on the spectrum. Within the visible light spectrum, the range starts with longer wavelengths and moves to shorter ones. Red light has the longest wavelength of visible light, whereas violet light has the shortest. This is an essential part of understanding various technologies and natural phenomena.
Each type of electromagnetic wave has its place on the spectrum. Within the visible light spectrum, the range starts with longer wavelengths and moves to shorter ones. Red light has the longest wavelength of visible light, whereas violet light has the shortest. This is an essential part of understanding various technologies and natural phenomena.
- Radio waves: longest wavelengths, lowest frequency.
- Visible light: small part of the spectrum, perceived as colors.
- Gamma rays: shortest wavelengths, highest frequency.
Color and Its Wavelength
Colors we perceive are due to light of specific wavelengths hitting our eyes. Blue and violet are both part of the visible spectrum but differ in their wavelengths and, consequently, their perception. Blue light ranges approximately from 450 nm to 495 nm. Violet light, which appears at the shorter end of the visible spectrum, typically ranges from 380 nm to 450 nm.
The relationship between wavelength and color is central to our understanding of light frequency. Shorter wavelengths correspond to higher frequencies and vice versa. Therefore, with violet light having a shorter wavelength than blue light, it implies a higher frequency. This is why violet light is perceived as having a higher energy compared to blue. Additionally, the variation in wavelengths is also why we have a spectrum of colors visible to the naked eye.
The relationship between wavelength and color is central to our understanding of light frequency. Shorter wavelengths correspond to higher frequencies and vice versa. Therefore, with violet light having a shorter wavelength than blue light, it implies a higher frequency. This is why violet light is perceived as having a higher energy compared to blue. Additionally, the variation in wavelengths is also why we have a spectrum of colors visible to the naked eye.
- Blue light: approximately 450-495 nm.
- Violet light: approximately 380-450 nm.
- Higher frequency corresponds to shorter wavelengths like violet.