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# The blue color of the sky results from the scattering of sunlight by molecules in the air. The blue light has a frequency of about $7.5 \times 10^{14} \mathrm{Hz} .$ (a) Calculate the wavelength (in $\mathrm{nm}$ ) associated with this radiation, and (b) calculate the energy (in joules) of a single photon associated with this frequency.

#### Topics

Electronic Structure

Quantum Physics

### Discussion

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##### Christina K.

Rutgers, The State University of New Jersey

##### Marshall S.

University of Washington

### Video Transcript

So for this question, were given the frequency of blue lights on as being seven things fine. I'm stunner of 14 hurts and they were asked What is the wavelength of that? Light and frequency and wavelength are related through the following invasions. Steve's being light equals wavelength times frequency and in this equation, the way lake is in meters the frequency using hurts which is the same thing as second Su minus one and speak is the speed of light, which is 3.0 Thanks Let's of the eight meters per second. So if we re arranged itself for wavelength to get Lambda will see over new and then we can plug in the speed of light switch between 00 I'm slaves with eight meters per second over frequency 7.5. I understand you were 14 hurts and even when we empath and the calculator early get for being zero, I'm starting to run my seven ignorance. Now they want the answer in nanometers and so to convert. That's a nanometers. You know that in one meter we have tense in 1919 years, so there ends up being for 100 nanometers for a year. my spends a list. I can't union leaders if you want to keep significant figures. So Tina's group or a No for Part B. We asked for the energy and jewels of a single photon with this frequency. And so the energy of a proton in terms of frequency is able. Teoh Age New, which is playing six constant, is explained. 63 I understand the meaning of 34 jewel seconds, and so we just seem to put everything in. So e coat on People's 6.63 I understand that all negative. 34 Jewell Second honest times a frequency that we were given 7.5 times, 10 to 14. You want to see the units canceled? Just night hurts a seconds. The minus one. And then when we entered on the calculator, we get four points. 97 It's your grounds of 5.0. I sense a night of 19. Jules. I mean, that's the amount of jewels for just a single full time

University of Michigan - Ann Arbor

#### Topics

Electronic Structure

Quantum Physics

##### Christina K.

Rutgers, The State University of New Jersey

##### Marshall S.

University of Washington