Frequency of Radiation with Wavelength 600 nm

To determine the frequency of radiation with a given wavelength, we can use the equation:

c = λν

Where:
- c is the speed of light in a vacuum (approximately 3.00 x 10^8 m/s)
- λ is the wavelength of the radiation in meters
- ν is the frequency of the radiation in hertz (Hz)

Step 1: Convert Wavelength to Meters
The given wavelength is 600 nm (nanometers). To convert this to meters, we divide by 10^9 since there are 10^9 nanometers in a meter:

600 nm = 600 × 10^(-9) m = 6.00 × 10^(-7) m

Step 2: Plug Values into the Equation
Now we can substitute the values into the equation:

c = λν

3.00 × 10^8 m/s = 6.00 × 10^(-7) m × ν

Step 3: Solve for Frequency
To solve for the frequency, we rearrange the equation to solve for ν:

ν = (3.00 × 10^8 m/s) / (6.00 × 10^(-7) m)

ν = 5.00 × 10^14 Hz

Therefore, the frequency of radiation with a wavelength of 600 nm is approximately 5.00 × 10^14 Hz.

Summary:
- The frequency of radiation with a wavelength of 600 nm can be determined using the equation c = λν.
- By converting the given wavelength to meters and substituting the values into the equation, we can solve for the frequency.
- The frequency of radiation with a wavelength of 600 nm is approximately 5.00 × 10^14 Hz.