Questions: What is the frequency of green light that has a wavelength of 501 nm? (c=3.00 × 10^8 m / s)

What is the frequency of green light that has a wavelength of 501 nm? (c=3.00 × 10^8 m / s)
Transcript text: What is the frequency of green light that has a wavelength of 501 nm ? ( $c=3.00$ $\left.\times 10^{8} \mathrm{~m} / \mathrm{s}\right)$
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Solution

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Solution Steps

Step 1: Identify the given values

We are given the wavelength of green light and the speed of light:

  • Wavelength, λ=501 nm=501×10−9 m\lambda = 501 \, \text{nm} = 501 \times 10^{-9} \, \text{m}
  • Speed of light, c=3.00×108 m/sc = 3.00 \times 10^8 \, \text{m/s}
Step 2: Use the relationship between speed, wavelength, and frequency

The relationship between the speed of light (cc), wavelength (λ\lambda), and frequency (ff) is given by: c=λf c = \lambda f

Step 3: Solve for frequency

Rearrange the equation to solve for frequency (ff): f=cλ f = \frac{c}{\lambda}

Step 4: Substitute the given values into the equation

Substitute c=3.00×108 m/sc = 3.00 \times 10^8 \, \text{m/s} and λ=501×10−9 m\lambda = 501 \times 10^{-9} \, \text{m} into the equation: f=3.00×108 m/s501×10−9 m f = \frac{3.00 \times 10^8 \, \text{m/s}}{501 \times 10^{-9} \, \text{m}}

Step 5: Calculate the frequency

Perform the division: f=3.00×108501×10−9 f = \frac{3.00 \times 10^8}{501 \times 10^{-9}} f=3.00×1085.01×10−7 f = \frac{3.00 \times 10^8}{5.01 \times 10^{-7}} f=5.988×1014 Hz f = 5.988 \times 10^{14} \, \text{Hz}

Final Answer

f=5.988×1014 Hz \boxed{f = 5.988 \times 10^{14} \, \text{Hz}}

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