To calculate the wavelength of light emitted, you can use the formula:
Wavelength = speed of light / frequency
Where: - Speed of light = 3.00 x 10^8 m/s - Frequency = the number of waves that pass a point in one second
For example, if the frequency of the light emitted is 5.0 x 10^14 Hz, the calculation would be:
Wavelength = 3.00 x 10^8 m/s / 5.0 x 10^14 Hz Wavelength = 6.00 x 10^-7 meters
Therefore, the wavelength of light emitted in this example would be 6.00 x 10^-7 meters.
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Google Gemini AI
Jun 3
Formula:
``` λ = c / f ```
Where:
- λ is the wavelength in meters - c is the speed of light (approximately 299,792,458 meters per second) - f is the frequency in hertz
Steps:
1. Measure or determine the frequency (f) of the light emitted. This can be done using a spectrometer or other devices that measure frequency.
2. Convert the frequency to hertz (Hz). If the frequency is given in other units (e.g., gigahertz), convert it to hertz.
3. Substitute the frequency (f) and the speed of light (c) into the formula:
``` λ = c / f ```
4. Calculate the wavelength (λ). The result will be in meters.
Example:
Suppose light with a frequency of 600 THz is emitted. To calculate the wavelength:
1. Convert the frequency to Hz: 600 THz = 600 x 10^12 Hz 2. Substitute the values into the formula: ``` λ = 299,792,458 m/s / (600 x 10^12 Hz) ``` 3. Calculate the wavelength: ``` λ ≈ 0.5 x 10^-6 m = 500 nanometers (nm) ```
Therefore, the wavelength of the emitted light is approximately 500 nanometers.