Calculate the frequency of the light ray.
Understand the Problem
The question is asking us to calculate the frequency of a light ray, which typically involves using the relationship between the speed of light, its wavelength, and frequency. The frequency can be determined using the equation: frequency = speed of light / wavelength.
Answer
The frequency of the light ray is $f = 6 \times 10^{14} \, \text{Hz}$.
Answer for screen readers
The frequency of the light ray is $f = 6 \times 10^{14} , \text{Hz}$.
Steps to Solve
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Identify the known values
We need to know the speed of light and the wavelength of the light ray. The speed of light in a vacuum is approximately $c = 3 \times 10^8 , \text{m/s}$. Determine the wavelength of the light ray (let's say it is given as $\lambda$). -
Use the frequency formula
The frequency ($f$) of the light is calculated using the formula: $$f = \frac{c}{\lambda}$$
where $c$ is the speed of light and $\lambda$ is the wavelength. -
Substitute the values into the equation
Insert the value of $c$ (the speed of light) and the wavelength into the formula. For example, if the wavelength is $\lambda = 500 \times 10^{-9} , \text{m}$ (500 nm), the equation becomes:
$$f = \frac{3 \times 10^8 , \text{m/s}}{500 \times 10^{-9} , \text{m}}$$ -
Calculate the frequency
Perform the division: $$f = \frac{3 \times 10^8}{500 \times 10^{-9}} = 6 \times 10^{14} , \text{Hz}$$
This gives the frequency of the light ray.
The frequency of the light ray is $f = 6 \times 10^{14} , \text{Hz}$.
More Information
Light rays have various wavelengths, and their frequencies correspond to different colors. For instance, light with a wavelength of 500 nm appears green. In general, as the wavelength decreases, the frequency increases.
Tips
- Calculating without using the correct unit conversions: Ensure both the speed of light and wavelength are in compatible units (meters in this case).
- Forgetting to square or convert scientific notation correctly: Carefully handle the powers of 10 in calculations.
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