5

Gvstton *8If tne uncertalnty in position of an electron Ar" is 113 nm; what Is Ahe loviest scientific notation: Round to 3 sig figs uncettainty inueedty report...

Question

Gvstton *8If tne uncertalnty in position of an electron Ar" is 113 nm; what Is Ahe loviest scientific notation: Round to 3 sig figs uncettainty inueedty report in the standard Sl unit for velocity:

Gvstton *8 If tne uncertalnty in position of an electron Ar" is 113 nm; what Is Ahe loviest scientific notation: Round to 3 sig figs uncettainty inueedty report in the standard Sl unit for velocity:



Answers

What is the velocity of an electron that has a momentum of $3.04 \times 10^{-21} \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$ ? Note that you must calculate the velocity to at least four digits to see the difference from $c .$

S is the arts frame. It's is art frame and then it's prime. The less prime is protons frame. It's pro tones frame right now s prime months of its speed be called 0.9 times the speed of light. So its prime moves with speed recalls sit a 0.9 times the speed of light and then that comes with Lost in Bill. The directory frame is minus little 0.9 times the speed of light, so electrons but lost. He's minus 0.9 times the speed of light and it's in the laboratory frames. Eloped means they're directory friends. Now we use ah rent transformation region, which issue prime equals U minus really divided by one minus you times we divided by C squared the substantive values. Then we have minus 0.9 times the speed of light buying this to 2.9 times the speed of light divided by one minus minus 22.9 times see into 0.9 times, see, divided by C square and therefore you prime is equal to zero point 0.994 times the speed of light so that electrons speedy's a lack ground speed is 0.994 times the speed of light. So the electrons the electrons speed is zero point 994 times the speed of light.

Yeah. To solve this question, let's force visualize the scenario electron which is moving along the positive direction. And let's say this is electron, it is moving longer boards the X direction and there is a proton here and first electron collide with the proton. And the initial distance cover is their tax won the super displacement. And after the coalition the electron moves along the opposite direction and it covers a distance. Okay. In the politics section. So for part a the average velocity along the X. Direction is that net displacement upon that I am taking to And from this, the average velocity of the electron is the net displacement is Uh 2.42 m plus the displacement takes two and the extra is along the negative X. Direction therefore minus 1.69 meters Upon the time taken. And the time taken during the two interval is 2.91 In to tenders -8 seconds plus 3.43 In. To tenders -8 seconds At the average velocity of the electron is 1.16 Into Tender seven m/s. For the second case, the average speed of the electronics. The distance traveled l upon the time taking tea and the distance several Ellis. The model of the displacement, one plus the model of the displacement too. Upon the total empty are the average speed of tele proneness, 2.42 m plus one point 69 m upon 2.91 into 10 days -8 seconds Plus 3.43 In 2. 10 days -8 seconds Are the average speed of the Lebron is 6.51 In 2, 10 days, seven m/s.

In this exercise, we have to find what is the liberally wavelength of electrons with different speeds. And we have to use the relativistic formula for the moment, Um, in order to find the Waveland. So first of all, I'm gonna just right here. Cem, uh, constants that are gonna be important for us. So first, Planck's constant H that 61 63 times 10 the minus 30 floor jewels second and the mass of the electron and is 9.1 times 10 to the minus 31 kg in question. A. We have to find the way bling for an election with a speed of 0.48 times the speed of light. Now, remember that the right to visit momentum is equal to for a massive article, of course, is equal to the mass times the speed divided by the square root of one. Mine is the Speed square, divided by C squared. And also, according to the Debra Lee former, the momentum of a particle can written as age divided by its wavelength. Lunda. So in our case, and just gonna relate the two equations here. So I'm gonna write age over the lumber for P and this is equal to envy. Divided by the square root of one minus V square overseas square. And this implies that if we multiply both sides by h I'm sorry if a from multiple it multiply both sides by ah Lunda and then divide both sides by envy. Divided by the square root of one minus b squared overseas square we get that London is equal to age times the square root of one miners v squared over C squared, divided by MZ Okay, and this is the form of that we're gonna use notice. You find the wavelength in both questions A and B So for for V equals 0.48 times the speed of light we have that loved a is equal to age that 61 63 times 10 to the minus 34 usual second times one minus. We swear that 0.48 See square, the site of a C square. Actually, the 40 0.48 truth always square. So the C's cancel out You have one minus. This guy would have one of mine is rippling for you squared, divided by the mass That's 9.1 times 10. It's the minus 31 kg times e that 0.48 times the speed of light which is three times 10 to the eighth meters per second. So Lunda is equal to 4.4 times 10 to the minus 12 m. This year is the answer to question A and question me. We have the same thing for but now, for the speed of 0.96 times is beautiful again, I'm gonna go back to the equation that I highlighted. And Boo Solana is equal to H, which is six weight 63 times 10 to the minus 34. Your second times the square root of one minus 0.96 square, divided by knife one times 10 to the minus 31 kg. Time. 0.96 times this bit of life just three times into the eight meters per second. So London is equal to 7.1 times two the minus 13 m which concludes or exercise

Okay. And this problem, we're asked to find the Debra Glade wavelength for a relativistic electron with two different velocities, one that's about half the speed of light and one that's close to the speed of life. The two equations that we'LL need is the definition for to Brooklyn wavelength for a particle's mass. This is H the point. Constant overpay the momentum, and we can use the relativistic momentum for a particle with mass, which is M C route gamma squared minus one And recall The gamma is the Lauren's factor, and it's defined as one minus V squared over C squared all to the negative one half power. And this is this determines the effect, the strength of relativistic effects for particle that's moving at a speed. All right, so let's jump into it. So to start off, we can get her definition for durably wavelength hp Khun Plugin A relativistic momentum into this expression and we're left with h over and see. I am a squared minus one, also the one half power square root and we can solve for gamma before we sum for this entire expression. So in part, a gamma is simply one minus point four eight c squared over C squared all the negative one half, which gives us point five two to the negative one half and we can just simply plug in that number and we could use for H over emcee, you can say six point six two six times ten to the negative thirty for jewel seconds all over. The massive electron, which is nine point one, does tend the negative thirty one kilograms speed of light is three times seventy eight meters per seconds. That's only these are all constants and then we can plug in our value for gamma for both for speed and party and party separately and calculate for Lambda in each. In both cases. For a party we will obtain at Lambda of four point four three times ten to the negative twelve meters. For Barbie, we will obtain a lambda equal to seven point zero seven tend to the native thirteen. So as our particle about faster its wavelength, the broccoli wavelength went down and just to just work, noting at least for part A. If we compared this relativistic expression to the non relativistic version, get a bit of error because the non relativistic version would be about five point zero five, ten of the negative twelve. So it's not that bad, but it's It's something. And if we did it for Part B, we would have a much bigger error as well. So that's why we need to use around a physic expression toe. Get a more correct answer anyway. That's it. These are These are the results. This is the sample calculation. Thanks very much.


Similar Solved Questions

5 answers
Find tc extreme Vclurs 0f +n func non f(x,Y) 2x 7164 Subject To 4e consamt 9(,4) ~16
Find tc extreme Vclurs 0f +n func non f(x,Y) 2x 7164 Subject To 4e consamt 9(,4) ~16...
5 answers
RuItDld[NJiuwJu JAUU MOAVOMcuv yWgnsbenSUY {wmeinaudrwoiqoid siui Lo Jpajj [EYuEd UJDO LBJ TIOX :JION(36eil431oiuoiieuBaiuiclnOp JP ((0)uts / "(0)soj-)fI5 VP (( x)f 'saieuipioo? JE 0d jubaiul pOJejall ue SV ajn61 041 uo bau popeys 041 osoddns Qulod 1)JXON1517 WoiqoudsnonaldSL weiqold ;90 YOMaWOHHJED
ruItDld [NJiuwJu JAUU MOA VOMcuv yWgns benSUY {wmeinaud rwoiqoid siui Lo Jpajj [EYuEd UJDO LBJ TIOX :JION (36eil 431oi uoiieuBaiui cln Op JP ((0)uts / "(0)soj-)f I5 VP (( x)f 'saieuipioo? JE 0d jubaiul pOJejall ue SV ajn61 041 uo bau popeys 041 osoddns Qulod 1) JXON 1517 Woiqoud snonald SL...
5 answers
The rate of the reaction is tripled.the rate of the reaction is doubledthe rate of the reaction remains the samethe rate of the reaction is quadrupled
the rate of the reaction is tripled. the rate of the reaction is doubled the rate of the reaction remains the same the rate of the reaction is quadrupled...
4 answers
2.A ball, kicked from ground level at an angle of 30.0? above horizontal, is in the air for 17.00 $. What is the maximum height of the ball? Ignore air resistance_
2.A ball, kicked from ground level at an angle of 30.0? above horizontal, is in the air for 17.00 $. What is the maximum height of the ball? Ignore air resistance_...
5 answers
For each of the compounds shown below, which of the following types of detector would be suitable UV absorption, electrospray mass spectrometry, refractive index? In each case briefly explain your answer. [8 marks]e)CH3OHHOHzNCH332Fig: 4. Chemical structures of compounds discussed above:
For each of the compounds shown below, which of the following types of detector would be suitable UV absorption, electrospray mass spectrometry, refractive index? In each case briefly explain your answer. [8 marks] e) CH3 OH HO HzN CH3 3 2 Fig: 4. Chemical structures of compounds discussed above:...
5 answers
4dru cicnang STUGtucE that are important for cach:
4dru cicnang STUGtucE that are important for cach:...
5 answers
The differential equation ty" _ ty' 3y = 0 has fundamental solution 91 = t* Find the other fundamental solution Y2 y2(t) = e yz(t) = e-3 y2(t) = t= y2(t) = t Nonc of the above is correct.
The differential equation ty" _ ty' 3y = 0 has fundamental solution 91 = t* Find the other fundamental solution Y2 y2(t) = e yz(t) = e-3 y2(t) = t= y2(t) = t Nonc of the above is correct....
5 answers
If the E-factor for synthesizing TDF is about 70 and the E-factor for synthesizing TAF is about $85,$ what is the difference in waste generated per year during drug manufacturing of TAF versus TDF for 6 million patients?
If the E-factor for synthesizing TDF is about 70 and the E-factor for synthesizing TAF is about $85,$ what is the difference in waste generated per year during drug manufacturing of TAF versus TDF for 6 million patients?...
5 answers
Enter Pind Xld Find Cebctiore Submit 16.94) Question your thegro recentlv 81 probability probability 8 reported that that numoers that sample singl the ccuI randomly mean 8 annual decina setectec cost randomly coobid Enip; auto selected insurance than L965 mean 5997 8 Assume than 5967 . the standard
Enter Pind Xld Find Cebctiore Submit 16.94) Question your thegro recentlv 81 probability probability 8 reported that that numoers that sample singl the ccuI randomly mean 8 annual decina setectec cost randomly coobid Enip; auto selected insurance than L965 mean 5997 8 Assume than 5967 . the standard...
5 answers
Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) F3x6 5x5 44x4 Sx2 lx + 111, P(-3)
Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) F3x6 5x5 44x4 Sx2 lx + 111, P(-3)...
5 answers
Lat 1 + 8r'y = Avz 9. Use implicit differentiation to find the derivative y312 V 4y - &r"'Y-Y-Pr 31"312 + 12r'y + 31' V = 8yr+9 V5 Avhart9 S18 + 2rv Gw - 824
Lat 1 + 8r'y = Avz 9. Use implicit differentiation to find the derivative y 312 V 4y - &r"' Y-Y-Pr 31" 312 + 12r'y + 31' V = 8y r+9 V5 Avhart 9 S18 + 2rv Gw - 824...
5 answers
Propose a synthesis of the following compound
propose a synthesis of the following compound...
5 answers
Survey; 40 people were asked how much they spent on their childs last birthday gift. The results were roughly bell-shaped with mean of 538.2 and standard deviation of S17.2 . Estimate how much typical Parent would spend on their childs birthday gift (use 95% confidence level): Give your answers to 3 decimal places.Expressyour answer In the format of >
survey; 40 people were asked how much they spent on their childs last birthday gift. The results were roughly bell-shaped with mean of 538.2 and standard deviation of S17.2 . Estimate how much typical Parent would spend on their childs birthday gift (use 95% confidence level): Give your answers to 3...

-- 0.022054--