Question

What is the frequency of violet light with a wavelength of 408nm?

Answer 1

The frequency of violet light with a wavelength of 408 nm is approximately 7.35 × 10⁹⁴ Hz. We calculate this by converting the wavelength to meters and then using the speed of light to find the frequency.

Step-by-step explanation:

To calculate the frequency of violet light with a wavelength of 408 nm, we can use the formula for the speed of light:

c = λ·f

where:

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To find the frequency, we rearrange the formula to solve for f:

f = c / λ

First, we need to convert the wavelength to meters:

408 nm = 408 × 10⁻⁹ m

Now, substitute the values into the equation:

f = (3.0 × 10⁸ m/s) / (408 × 10⁻⁹ m)

Next, perform the calculation:

f ≈ 7.35 × 10¹⁴ Hz

This frequency of violet light falls within the range for visible light.

Answer 2

Answer: The frequency of violet light with a wavelength of 408nm can be calculated using the formula:

frequency = speed of light / wavelength

where the speed of light is approximately 3 x 10^8 meters per second.

So, frequency = 3 x 10^8 meters per second / 408 x 10^-9 meters

However, this is a number without units, as the units cancel out. To express the frequency in hertz, which is the standard unit of frequency, you would multiply the result by 1 hertz = 1/second.