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 ? ( $c=3.00$ $\left.\times 10^{8} \mathrm{~m} / \mathrm{s}\right)$
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the given values

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

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

The relationship between the speed of light (\(c\)), wavelength (\(\lambda\)), and frequency (\(f\)) is given by: \[ c = \lambda f \]

Step 3: Solve for frequency

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

Step 4: Substitute the given values into the equation

Substitute \(c = 3.00 \times 10^8 \, \text{m/s}\) and \(\lambda = 501 \times 10^{-9} \, \text{m}\) into the equation: \[ f = \frac{3.00 \times 10^8 \, \text{m/s}}{501 \times 10^{-9} \, \text{m}} \]

Step 5: Calculate the frequency

Perform the division: \[ f = \frac{3.00 \times 10^8}{501 \times 10^{-9}} \] \[ f = \frac{3.00 \times 10^8}{5.01 \times 10^{-7}} \] \[ f = 5.988 \times 10^{14} \, \text{Hz} \]

Final Answer

\[ \boxed{f = 5.988 \times 10^{14} \, \text{Hz}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Let f(x)=x^2-10x-5. a. Find the values of x for which the slope of the curve y=f(x) is 0. b. Find the values of x for which the slope of the curve y=f(x) is -2.
failedAnswered
Factor the following polynomial completely. [ (x-12)^2+11(x-12)-242 ] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (x-12)^2+11(x-12)-242= B. The polynomial is prime.
failedAnswered
Omar rattled off a list of his favorite filmmakers: David Lynch, Christopher Guest, the Coen Brothers, Quentin Tarantino, and Wes Anderson.
failedAnswered
A difference between warm and cold parenting styles is that warm parents are: less likely to use physical discipline more likely to have children with poor academic motivation. more likely to set boundaries for their children more likely to have children with internalizing disorders.
failedAnswered
Suppose that a poll taken 10 years ago found that 65% of parents spank their children. Suppose a recent poll of 500 adults with children finds that 293 indicated that they spank their children. Assuming parents' attitude toward spanking has not changed since the original poll, how many of the 500 parents surveyed would be expected to spank their children? Do the results of the survey suggest that parents' attitude toward spanking may have changed since the original poll? Why? We would expect parents to spank their children. (Round to the nearest whole number as needed.)