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# One type of electromagnetic radiation has a frequency of 107.1 $\mathrm{MHz}$ , another type has a wavelength of $2.12 \times 10^{-10} \mathrm{m},$ and another type of electromagnetic radiation has photons with energy equal to $3.97 \times 10^{-19} \mathrm{J} / \mathrm{photon}$ . Identify each type of electromagnetic radiation and place them in order of increasing photon energy and increasing frequency.

## $1.4 \times 10^{18}3$$6.00 \times 10^{14} \mathrm{s}^{-1}$Least $v_{A}<v_{c}<v_{s}$ Greatest

### Discussion

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##### Stephanie C.

University of Central Florida

##### Morgan S.

University of Kentucky

##### Jake R.

University of Toronto

### Video Transcript

June problem 52 Triple 71 type electromagnetic radiation has a frequency of 100 and 7.1 megahertz and we can rewrite that as a hunt during 7.1 times 10 toothy six in vour seconds. The other is a electromagnetic. Radiation has 3.97 times 10 to the negative. 19 Jules perf Otan. But we can just imply that's per photon. And another type has 2.12 times 10 to the negative 10 meters. So the way we do that is so we want to comparatively. So the first thing we're gonna do is we're gonna convert all of these two to ah, frequency. Remember, this is energy. Energy equals H mu. Energy equals place. Constant times. I was frequency. So we're gonna divide this energy. Hey, but blanks concept to get a frequency content 6.63 I'm stand to gain negative 34 Jule seconds. So that means that the frequency in this case is going to be Hey, five 0.9 nine alone times, Then toward the 14 inverse seconds. However, this one lamb day ik equals Sorry, Mu equals Sea of Orlando. We're seeing speed of light. So we have three times 10 to D eight meters per second, which is the speed of light over over. Our wade left 2.12 times 10 to the negative 10 meter. There's some of you in this case that's going to be so one point for one times tend to be 18th 18th inverse seconds, so good. So identify each type of electromagnetic radiation and placed them in order of increasing photon energy and increasing frequency. So there are different types of Elektra Matic take, uh, radiation, and you could turn that based on the frequency. So So this is in the tented six power there and might say 10 to 6. I mean, tend to the positive six x So this is a This is going to be radio. This is indeed 10 to the 14th range. So this is going to be, uh, e. I would say yes, and this is actually high in the 10 to the into the 14th range. So I would say this. It's close enough that I would say this in the visible spectrum spectrum. I would not say I would not say it's in the UV or in front, I would say it's invisible and this one tend to the 18. This would be in the X. This would be in the X ray spectrum. Now, since energy is remember, energy is proportional to frequency. So this has it. So these are arranged in order of increasing frequency and consequently there also were arranged in order of increasing being energy energy.

Manhattan College
##### Stephanie C.

University of Central Florida

##### Morgan S.

University of Kentucky

##### Jake R.

University of Toronto