Question

Question #464d9

Answer 1

`9.1 * 10^(18)"s"^(-1)`

Explanation:

The energy of an electromagnetic wave is proportional to its frequency as described by the Planck - Einstein relation

`color(blue)(|bar(ul(color(white)(a/a)E = h * nu color(white)(a/a)|)))`

Here you have

`E` - the energy of the wave
`h` - Planck's constant, equal to `6.626 * 10^(-34)"J s"`
`nu` - the frequency of the wave

As you can see, the higher the frequency of the wave, the more energy it will carry.

To get the frequency of the wave from this equation, rearrange it to get `nu` alone on one side

`E = h * nu implies nu = E/h`

Plug in the value you have for the energy of the wave to get

`nu = (6.0 * 10^(-15)color(red)(cancel(color(black)("J"))))/(6.626 * 10^(-34)color(red)(cancel(color(black)("J")))"s") = color(green)(|bar(ul(color(white)(a/a)9.1 * 10^(18)"s"^(-1)color(white)(a/a)|)))`

The answer is rounded to two sig figs.

This frequency places your electromagnetic wave in the X-Ray portion of the EM spectrum.