Question

What is the wavelength of a photon with a frequency of `7.81 * 10^14` `Hz`?

Answer 1

The wavelength of the photon is `3.84xx10^(-7) m`

Explanation:

To determine the answer we have to use the following equation:

`C = lambda xx v`

• C represents the speed of light, which has a value of approximately `3.00xx10^(8) m/s`
• `lambda` represents the wavelength and the units should be in meters.
• v represents the frequency, which should have units of `Hz or s^(-1)`. Hz is hertz or reciprocal seconds.

Now let's rearrange the equation to solve for `lambda`:

`C/v` = `lambda`

`lambda = (3.00xx10^(8) m)/(cancel"s")/7.81xx10^(14)cancel(s^(-1)`

`lambda = 3.84xx10^(-7) m`