What is the frequency of green light that has a wavelength of 5.5 x 10^-7 meters? 

To calculate the frequency of green light with a wavelength of \( 5.5 \times 10^{-7} \) meters, we can use the formula:

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

where:
- \( f \) is the frequency of the light,
- \( c \) is the speed of light in a vacuum, approximately \( 3.00 \times 10^8 \) meters per second,
- \( \lambda \) is the wavelength of the light, which is given as \( 5.5 \times 10^{-7} \) meters.

### Step-by-Step Solution:
1. Substitute the values for \( c \) and \( \lambda \) into the formula:
   \[
   f = \frac{3.00 \times 10^8 \, \text{m/s}}{5.5 \times 10^{-7} \, \text{m}}
   \]

2. Perform the division:
   \[
   f = \frac{3.00 \times 10^8}{5.5 \times 10^{-7}}
   \]

3. Calculating this gives:
   \[
   f \approx 5.45 \times 10^{14} \, \text{Hz}
   \]

### Answer:
The frequency of green light with a wavelength of \( 5.5 \times 10^{-7} \) meters is approximately \( 5.45 \times 10^{14} \) Hz.

Would you like further details or have any questions?

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Here are 5 related questions:
1. How would the frequency change if the wavelength were shorter, say \( 4.0 \times 10^{-7} \) meters?
2. What is the relationship between energy and frequency for electromagnetic waves?
3. How can we calculate the energy of a photon of green light using its frequency?
4. Why does green light appear in the middle of the visible spectrum?
5. How does the speed of light in a medium like glass affect the wavelength and frequency?

**Tip:** The frequency and wavelength of light are inversely related; as one increases, the other decreases.

What is the frequency of green light that has a wavelength of 5.5 x 10^-7 meters?

Discover how to calculate the frequency of green light with a wavelength of 5.5 x 10^-7 meters using the formula f = c / λ. This step-by-step solution involves fundamental concepts in physics, including the speed of light and the inverse relationship between frequency and wavelength. Suitable for high school students in Grades 9-12.

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