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Problem

Light with a wavelength of 614.5 nm looks orange.…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86

Problem 4 Easy Difficulty

A bright violet line occurs at 435.8 nm in the emission spectrum of mercury vapor. What amount of energy, in joules, must be released by an electron in a mercury atom to produce a photon of this light?

Answer

$\mathrm{E}=4.56 \cdot 10^{-19}$

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Video Transcript

So what we're told for this problem is that in the emission spectrum for mercury, one of the lines produced has a wavelength of 435.8 centimeters were asked to do is to calculate the energy of the foe town that generates this line. Um, so do that. We've got I've got the two pretty standard light equations written here. What we're gonna do is actually combine them together. So we know that energy equals planks, constant times the speed of light divided by the wavelength. We're given the wavelength written here to the right and meters. So to solve this problem, it's a pretty straightforward calculation where we take the value of planks constant which is 6.626 times 10 to the negative 34th jewel seconds. We multiply that by the speed of light in meters per second. And then we divide that number by the given wavelength 4.358 times 10 to the negative seven meters. And the answer that will get out of that is 4.56 times 10 to the negative. 19th Jules

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