Calculate the wavelength of violet light with a frequency of [tex]750 \times 10^{12} \text{ Hz}[/tex].
Answer (3)
The wavelength of violet light with a frequency of 750×10^12 Hz is calculated using the speed of light and the frequency. When we apply the formula λ = c/ν, we find that the wavelength is 4.00 × 10^-7 meters, or 400 nm, which is within the violet range of the visible spectrum.
To calculate the wavelength of violet light with a frequency of 750×10^12 Hz, we use the equation that relates the speed of light (c), wavelength (λ), and frequency (ν) through the formula c = λν. The speed of light (c) is approximately 3.00 × 10^8 meters per second (m/s). Therefore, by rearranging the formula to find wavelength, we get λ = c/ν.
Substituting the values into the formula:
λ = (3.00 × 10^8 m/s) / (750 × 10^12 Hz)
λ = 4.00 × 10^-7 meters
Since 1 meter (m) equals 109 nanometers (nm), the wavelength can also be expressed in nanometers as:
λ = 400 nm
This value falls within the range of wavelengths associated with violet light in the visible light spectrum, typically considered to be from about 380 nm to 450 nm.
The **wavelength of violet light with a frequency **of 750 × 10^12 Hz is 400 nanometers (nm).
Wavelength is the distance between two consecutive peaks or troughs of a wave, representing the length of one complete cycle of the wave. It is commonly used to describe the size or scale of various types of waves, including electromagnetic waves such as light.
To calculate the wavelength of light, you can use the formula:
wavelength = speed of light/frequency
The speed of light is approximately 3.00 × 10^8 meters per second.
Let's plug in the values:
frequency = 750 × 10^12 Hz
speed of light = 3.00 × 10^8 m/s
wavelength = (3.00 × 10^8 m/s) / (750 × 10^12 Hz)
Simplifying the expression:
wavelength = (3.00 / 750) × (10^8 / 10^12) m
wavelength = 4.00 × 10^-4 m
Therefore, the wavelength of violet light is approximately 4.00 × 10^-4 meters or 400 nanometers (nm).
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The wavelength of violet light with a frequency of 750 × 1 0 12 Hz is approximately 400 nanometers (nm), calculated using the speed of light divided by frequency. This wavelength corresponds to the higher frequencies of the violet spectrum. Therefore, the detailed calculation confirms the wavelength is around 400 nm.
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