COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Question
Chapter 26, Problem 11QAP
To determine
Whether the De Broglie wavelength of a particle increase or decrease as its kinetic energy increases
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Can an electron with a de Broglie wavelength of 2 μm pass through a slit that is 1 μm wide? Explain.
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Chapter 26 Solutions
COLLEGE PHYSICS
Ch. 26 - Prob. 1QAPCh. 26 - Prob. 2QAPCh. 26 - Prob. 3QAPCh. 26 - Prob. 4QAPCh. 26 - Prob. 5QAPCh. 26 - Prob. 6QAPCh. 26 - Prob. 7QAPCh. 26 - Prob. 8QAPCh. 26 - Prob. 9QAPCh. 26 - Prob. 10QAP
Ch. 26 - Prob. 11QAPCh. 26 - Prob. 12QAPCh. 26 - Prob. 13QAPCh. 26 - Prob. 14QAPCh. 26 - Prob. 15QAPCh. 26 - Prob. 16QAPCh. 26 - Prob. 17QAPCh. 26 - Prob. 18QAPCh. 26 - Prob. 19QAPCh. 26 - Prob. 20QAPCh. 26 - Prob. 21QAPCh. 26 - Prob. 22QAPCh. 26 - Prob. 23QAPCh. 26 - Prob. 24QAPCh. 26 - Prob. 25QAPCh. 26 - Prob. 26QAPCh. 26 - Prob. 27QAPCh. 26 - Prob. 28QAPCh. 26 - Prob. 29QAPCh. 26 - Prob. 30QAPCh. 26 - Prob. 31QAPCh. 26 - Prob. 32QAPCh. 26 - Prob. 33QAPCh. 26 - Prob. 34QAPCh. 26 - Prob. 35QAPCh. 26 - Prob. 36QAPCh. 26 - Prob. 37QAPCh. 26 - Prob. 38QAPCh. 26 - Prob. 39QAPCh. 26 - Prob. 40QAPCh. 26 - Prob. 41QAPCh. 26 - Prob. 42QAPCh. 26 - Prob. 43QAPCh. 26 - Prob. 44QAPCh. 26 - Prob. 45QAPCh. 26 - Prob. 46QAPCh. 26 - Prob. 47QAPCh. 26 - Prob. 48QAPCh. 26 - Prob. 49QAPCh. 26 - Prob. 50QAPCh. 26 - Prob. 51QAPCh. 26 - Prob. 52QAPCh. 26 - Prob. 53QAPCh. 26 - Prob. 54QAPCh. 26 - Prob. 55QAPCh. 26 - Prob. 56QAPCh. 26 - Prob. 57QAPCh. 26 - Prob. 58QAPCh. 26 - Prob. 59QAPCh. 26 - Prob. 60QAPCh. 26 - Prob. 61QAPCh. 26 - Prob. 62QAPCh. 26 - Prob. 63QAPCh. 26 - Prob. 64QAPCh. 26 - Prob. 65QAPCh. 26 - Prob. 66QAPCh. 26 - Prob. 67QAPCh. 26 - Prob. 68QAPCh. 26 - Prob. 69QAPCh. 26 - Prob. 70QAPCh. 26 - Prob. 71QAPCh. 26 - Prob. 72QAPCh. 26 - Prob. 73QAPCh. 26 - Prob. 74QAPCh. 26 - Prob. 75QAPCh. 26 - Prob. 76QAPCh. 26 - Prob. 77QAPCh. 26 - Prob. 78QAPCh. 26 - Prob. 79QAPCh. 26 - Prob. 80QAPCh. 26 - Prob. 81QAPCh. 26 - Prob. 82QAPCh. 26 - Prob. 83QAPCh. 26 - Prob. 84QAPCh. 26 - Prob. 85QAPCh. 26 - Prob. 86QAPCh. 26 - Prob. 87QAPCh. 26 - Prob. 88QAPCh. 26 - Prob. 89QAPCh. 26 - Prob. 90QAPCh. 26 - Prob. 91QAPCh. 26 - Prob. 92QAPCh. 26 - Prob. 93QAPCh. 26 - Prob. 94QAPCh. 26 - Prob. 95QAPCh. 26 - Prob. 96QAPCh. 26 - Prob. 97QAPCh. 26 - Prob. 98QAPCh. 26 - Prob. 99QAPCh. 26 - Prob. 100QAPCh. 26 - Prob. 101QAPCh. 26 - Prob. 102QAPCh. 26 - Prob. 103QAPCh. 26 - Prob. 104QAP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Q:-3(a)-An electron moves in the x direction with a speed of 2.8 x 106 m/s. We can measure its speed to a precision of 2 %. With what precision can we simultaneously measure its x coordinate? (b)- Repeat the calculations of the previous example in the case of a pitched baseball (m = 0.135 kg) moving at a speed of (44.5 ms). Again assume that its speed can be measured to a precision of 2%arrow_forwardIf a proton and an electron have the same speed, which has the longer de Broglie wavelength? Explain.arrow_forwardQ:-3(a)-An electron moves in the x direction with a speed of 2.8 x 106 m/s. We can measure its speed to a precision of 2 %. With what precision can we simultaneously measure its x coordinate? (b)- Repeat the calculations of the previous example in the case of a pitched baseball (m = 0.135 kg) moving at a speed of (44.5 m/s). Again assume that its speed can be measured to a precision of 2 % (c) What is your comment on the result in part (a) and (b) from the point of view of quantum mechanics?arrow_forward
- Suppose the minimum uncertainty in the position of a particle is equal to its de Broglie wavelength. If the particle has an average speed of 4.5 x 10^5 m/s, what is the minimum uncertainty in its speed?arrow_forward4. (a) Calculate the de Broglie wavelength of An electron travelling at 4 x 106 m/s and (i) (ii) A car of mass 1.1 × 106 g travelling at 15 m/s. (b) Comment on the significance of the relative magnitude of your answers in part (a). Note: the diameter of an atom is on the order of 10-10 m.arrow_forwardElectrons with an energy of 0.610 eV are incident on a double slit in which the two slits are separated by 40.0 nm. (a) What is the speed of these electrons? m/s (b) What is the de Broglie wavelength (in nanometers!) of these electrons? nm (c) What is the angle between the two second-order maxima in the resulting interference pattern?arrow_forward
- On average, people in Adelaide have a mass of m would have a de Broglie wavelength of A N 3.66 x 10 36 85.5 kg and walk at a speed of v = 2.12 ms, If we were to consider such a person to be a particle with mass m and speed v, then they m when walking. Explain why the average Adelaidean is not observed to diffract when walking through a doorway.arrow_forwardResolving ‘power’ of an electron microscope versus optical (photon) microscope: If a resolution of 1.0 x 10-11m (0.010nm) is required to ‘see’ an atom, (a) If electrons are used (e-microscope), what minimum kinetic energy of the electrons is required? Use deBroglie’s Hypothesis and KE = p2/2me and non-relativistic velocities: (b) If photons are used, what minimum KE (Eγ) is required to obtain 10-11m resolution?arrow_forwardUse the de Broglie relationship to determine the wavelengthsof the following objects: (a) an 85-kg person skiing at50 km>hr, (b) a 10.0-g bullet fired at 250 m>s, (c) a lithiumatom moving at 2.5 * 105 m>s, (d) an ozone 1O32 moleculein the upper atmosphere moving at 550 m>s.arrow_forward
- JC-34) Electron Wave Function Consider the electron wave function given below where x is in cm. cVT cVI-x² \x\ 1 cm (a) Determine the normalization constant c. Express your answer using 2 significant figures. (b) Draw a graph of the wave function over the interval -2 cmarrow_forward1. (a) Why are crystals used in the measurement of matter waves? [1] (b) Which physical phenomena do matter waves exhibit when scattered off of crystals? [1] 2. For de Broglie waves (of free particles), show that: (a) the angular frequency and the wave number are related by [3] ω = ~k 2 2m ; (1) (b) vph is equal to halve the speed of the particle; [3] (c) and vg is equal to the speed of the particle. [2] 3. The wavefunction of a certain quantum system is given by Ψ(x, t) = Ae− mω 2~ x 2−iEt/~ , E = 1 2 ~ω, (2) where n = 1, 2, 3, · · · , ω is a constant and −∞ < x < ∞. (a) Show that [3] A = mω π~ 1/4 (3) (b) Compute ∆x and ∆p. [Recall: ∆q = p hq 2i − hqi 2 ] [14] 1arrow_forwardi) Find the de Broglie wavelengths of a) an electron (m₂ = 9.1 x 10-31 kg) accelerated through a potential difference of 170 volts, and b) A 350 gm baseball moving with a speed of 200 m/s. Comparing the results explain why the wave nature of matter is not more apparent in daily observationsarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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