What is the frequency of green light that has a wavelength of 515 nm? (c = 3.00 x 10⁸ m/s)

To find the frequency (\(f\)) of green light with a wavelength of 515 nm, we can use the equation that relates the speed of light (\(c\)), frequency (\(f\)), and wavelength (\(\lambda\)):

\[
c = f \cdot \lambda
\]

Where:
- \(c = 3.00 \times 10^8 \, \text{m/s}\) (the speed of light),
- \(\lambda = 515 \, \text{nm} = 515 \times 10^{-9} \, \text{m}\) (converted from nanometers to meters).

Now, solve for \(f\):

\[
f = \frac{c}{\lambda}
\]

Substituting the values:

\[
f = \frac{3.00 \times 10^8}{515 \times 10^{-9}} = 5.83 \times 10^{14} \, \text{Hz}
\]

Thus, the frequency of the green light is approximately \(5.83 \times 10^{14} \, \text{Hz}\).

Would you like more details or have any questions?

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Here are five related questions:
1. How does the wavelength of light affect its frequency?
2. What is the wavelength of red light if its frequency is \(4.3 \times 10^{14} \, \text{Hz}\)?
3. What is the energy of green light with this frequency?
4. How does the speed of light change in different mediums?
5. What is the range of wavelengths for visible light?

**Tip:** Always convert nanometers to meters when using the speed of light formula.

Learn how to calculate the frequency of green light with a wavelength of 515 nm using the wave equation. With a given speed of light (c = 3.00 x 10⁸ m/s), the solution provides a frequency of approximately 5.83 x 10¹⁴ Hz. Suitable for high school students studying physics and wave properties.

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