To find the frequency of green light, we can use the equation that relates the speed of light (\(c\)), frequency (\(f\)), and wavelength (\(\lambda\)):
\[ c = f \cdot \lambda \]
Where:
- \(c\) is the speed of light (3.00 × 10^8 m/s),
- \(f\) is the frequency (in Hz),
- \(\lambda\) is the wavelength (in meters).
Given that the wavelength of green light is 510 nm, we first need to convert this wavelength into meters:
\[ 510 , \text{nm} = 510 \times 10^{-9} , \text{m} \]
Now we can rearrange the equation to solve for frequency:
\[ f = \frac{c}{\lambda} \]
Substituting the values:
\[ f = \frac{3.00 \times 10^8 , \text{m/s}}{510 \times 10^{-9} , \text{m}} \]
Calculating this gives:
\[ f = \frac{3.00 \times 10^8}{510 \times 10^{-9}} \approx \frac{3.00 \times 10^8}{5.10 \times 10^{-7}} \approx 5.88 \times 10^{14} , \text{Hz} \]
When rounded to the nearest tenth and expressed in scientific notation, the frequency of green light is:
\[ f \approx 5.9 \times 10^{14} , \text{Hz} \]
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