Answered: Calculate the de Broglie wavelength of…

Calculate the de Broglie wavelength of (a) a 50.0 kg woman jogging leisurely at 2.0 m/s, (b) a free electron with kinetic energy 2.0 MeV, and

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter5: Matter Waves

Section: Chapter Questions

Problem 11P

See similar textbooks

Related questions

Q: The wavelength of a yellow photon is 660 nm. At what kinetic energy would an electron have that…

A: Wavelength of yellow photon = 660 nm = 660 X 10-9 m Mass of electron, m = 9.11 X 10-31 kg

Q: If a particle weighs 7.61 kg and has a de Broglie wavelength of 2.06 x 10-39 m , what is its current…

Q: Draw a graph showing the variation of de Broglie wavelength λ of a particle of charge q and mass m,…

A: We know that wavelength is also calculated as λ=hmvv=hmλsquaring both sides and multiply both the…

Q: What is the de Broglie wavelength associated with (a) an electron moving with a speed of 5.4×106…

A: The de Broglie wavelength be defined as,

Q: Calculate the de Broglie wavelength of an electron accelerated from rest through a potential…

Q: The wavelength of a yellow photon is 660 nm. At what kinetic energy would an electron have that…

A: The relation between the momentum and the de Broglie wavelength is where, h is the Plank's…

Q: n electron with a mass of 9.11 x 10–31 kg is accelerated to 25% the speed of light (c = 3.00 x 108…

Q: Find the de Broglie wavelength of a 1500kg car when its speed is 80km/h. How significant are the…

Q: a) Light of wavelength 500 nm falls on a metal having photoelectric work function 2 eV. (i) Find the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the kinetic energy of an electron whose de Broglie wavelength is equal to 0.61 Å, a typical…

A: Given: de Broglie wavelength of the electron is, λ=0.61 A∘=.61×10-10 m Require: The kinetic…

Q: When an electron is accelerated through a potential difference Δφ it acquires a kinetic energy e Δφ.…

A: kinetic energy of an electron, KE = e∆φ where, ∆φ is the potential difference

Q: A proton is moving with a speed of v = 1.20 x 10° m/s. What is its de Broglie wavelength (in m)?…

Q: Calculate the de Broglie wavelength of an electron accelerated from rest through a potential…

Q: What is the de Broglie wavelength of a proton whose kinetic energy is 2.0 MeV? 10.0 MeV?

A: Kinetic energy of proton1: KE1 = 2.0MeV = 2.0 x 1.6 x 10-13 V = 3.2 x 10-13 V Kinetic energy of…

Q: Calculate the de Broglie wavelength of a proton moving at (a) 2.00 × 104 m/s and (b) 2.00 × 107 m/s

A: (a) Calculate the de Broglie wavelength of a proton at 2.00×104 m/s as below.

Q: When ultraviolet light with a wavelength of 264 nmnm falls upon a clean metal surface, the stopping…

Q: (a) What is the de Broglie wavelength (in m) of a proton moving at a speed of 3.14 x 104 m/s?…

A: Given E = 3.24 MeV E = 5.19205*10-13 J Finding wavelength Wavelength = hc/E h = planck's Constant =…

Q: De Broglie postulated that the relationship λ =h/p is valid for relativistic particles. What is the…

Q: What is the de Broglie wavelength of (a) an electron accelerated from rest by a potential difference…

A: a) The kinetic energy of the electron which is accelerated is given by K=eV=pe22me…

Q: An isolated copper sphere of radius 5.55 cm, initially uncharged, is illuminated by ultraviolet…

A: The induced charge Q on the sphere will be 2.037e-12 C

Q: What is the de Broglie wavelength of a particle, such as an electron, at rest? O A. Davisson and…

Q: The electrons in a beam are moving at 18 m/s. (melectron = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s)…

A: Speed of electron, v=18 m/s Mass of electron, m=9.11 × 10-31 kg

Q: Calculate the de Broglie wavelength of a 41 kg person who is running at a speed of 3.07 m/s. Answer…

Q: Calculate the de Broglie wavelengths of (a) an electron moving with speed 1.0×106m s-1and (b) a…

A: (a)speed of electron,(v)=1 x 106 m/sec ----(1) [Given] Plank's constant,(h)=6.6 x 10-34 kg-m2/sec…

Q: Using the Broglie"s relationship, the velocity of an electron with a (mass e = 9.11×10-31 kg) having…

Q: After a 0.777 nm x-ray photon scatters from a free electron, the electron recoils at 1.30 106…

Q: Determine the de Broglie wavelength for i. an electron (mass = 9.1 x 10-31 kg) moving at a speed of…

Q: What is the de Broglie wavelength of a red blood cell with a mass of 1.00 x 10-11 g that is moving…

A: The expression for find wavelength is λ=hmv

Q: What is the de Broglie wavelength of(a) a bullet of mass 0.040 kg travelling at the speed of 1.0…

A: Given: (a) a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s(b) a ball of mass 0.060 kg…

Q: Calculate the de Broglie wavelength of a proton moving at 2.60 x 104 m/s and 1.99 x 108 m/s. (a)…

Q: X rays of wavelength 0.0100 nm are directed in the positive direction of an x axis onto a target…

Q: Calculate the de Broglie wavelength of a proton moving at (a) 2.00 x 104 m/s and (b) 2.00 x 107 m/s.

Q: Which has the larger de Broglie wavelength, a 0.50 kg ball moving with a speed of 25 m/s or an…

Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible lights, the Compton effect is missing.

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

Calculate the de Broglie wavelength of
(a) a 50.0 kg woman jogging leisurely at 2.0 m/s,
(b) a free electron with kinetic energy 2.0 MeV, and
(c) a free electron with kinetic energy 20 eV.
Use the proper relativistic expression when necessary.

Ques. 1 Calculate the de Broglie wavelength of
(a) a 50.0 kg woman jogging leisurely at 2.0 m/s,
(b) a free electron with kinetic energy 2.0 MeV, and
(c) a free electron with kinetic energy 20 eV.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

2.1. Find the de Broglie wavelength of the following particles: (i) an electron in a semiconductor having average thermal velocity at T = 300 K and an effective mass of me = amo, where a is a constant, (ii) a helium atom having thermal energy at T = 300 K, (iii) an a-particle (He4 nucleus) of kinetic energy 10 MeV.
a. Conceptually, discuss the particle-wave duality of light. Discuss the implications of this in combination with the de Broglie (pronounced “de Broy”) equation. b. The electron of a hydrogen atom is usually no further than 1.0 Å from the proton. We can therefore say the upper limit of the radius of an isolated hydrogen atom is roughly 1.0 Å. How does the de Broglie wavelength of the electron compare to this radius? (The velocity of an electron in the first principal energy level is about 2.2 x 106 m/s). Explain why wave-particle duality is so important for quantum mechanics, yet not required in macroscopic systems that are well described by classical mechanics. c. Comment as to whether neutrons with velocity 4.14 x 103 m/s may be used to determine structures of molecules in a diffraction-based experiment. You may consider the relevant distance between atoms in molecules to be on the order of 1 Å.
6.1 Calculate the de Broglie wavelengths of the following items: a) an electron with a kinetic energy of 3 eV b) a proton with a kinetic energy of 7 MeV c) a buckyball (C60) with a speed of 200 m/s d) an oxygen molecule at room temperature
A sodium gas is contained in a cubical container (T=250 K) with one side measuring 25.0 m. a.) What is the minimum uncertainty in momentum components of the sodium atoms? b.) What is the minimum uncertainty in velocity components? c.) Find the ratio of uncertainties in your answer in letter b, to the mean speed of an atom in each direction.
A sodium atom in one of the states labeled “Lowest excited levels” in Fig. remains in that state, on average, for 1.6 * 10-8 s before it makes a transition to the ground state, emitting a photon with wavelength 589.0 nm and energy 2.105 eV. What is the uncertainty in energy of that excited state? What is the wavelength spread of the corresponding spectral line?
What is the wavelength of (a) a 12-keV X-ray photon; (b) a 2.O-MeV y -ray photon?
Suppose an electron is confined to a region of length 0.1 nm (of the order of the size of a hydrogen atom) and its kinetic energy is equal to the ground state energy of the hydrogen atom in Bohr's model (13.6 eV). (a) What is the minimum uncertainty of its momentum? What fraction of its momentum is it? (b) What would the uncertainty in kinetic energy of this electron be if its momentum were equal to your answer in part (a)? What fraction of its kinetic energy is it?
A student in a physics laboratory observes a hydrogen spectrum with a diffraction grating for the purpose of measuring the wavelengths of the emitted radiation, hr the spectrum, she observes a yellow line and finds its wavelength to be 589 nm. (a) Assuming that this is part of the Balmer series, determine the principal quantum number of the initial state, (b) What is unreasonable about this result? (c) Which assumptions are unreasonable 01 inconsistent?
Consider an electron with kinetic energy E = 10 eV. Calculate the de Broglie wavelength of the electron. Express your answer in Angstroms. 1 Angstrom = 1 x 10-10 m.
Monochromatic light from a laser shines onto a gold surface and produces photoelectrons with maximum kinetic energy KEmax = 3 eV. What is the wavelength of the laser light? Assume a work function of 5.10 eV for gold.Please give your answer in units of nm, rounded to 1 decimal place. I.e, the answer you should enter should have the form: XX.X nm.
The photoelectric threshold wavelength of a tungsten surface is 272 nm.at. What is the threshold frequency in (Hz)?b. What is the extraction work (in eV) for this tungsten?vs. What is the maximum kinetic energy (in eV) of the electrons ejected from this tungsten surface by ultraviolet radiation of frequency 1.45 × 1015 Hz?
What constraints does the uncertainty principle place on our knowledge of the world? To get a sense of scale, we’ll look at the uncertainty in speed for a confined electron and for a confined dust particle.a. What range of velocities might an electron have if confined toa 0.30-nm-wide region, about the size of an atom?b. A 1.0@mm@diameter dust particle (m ≈ 10-15 kg) is confined within a 5-μm-long box. Can we know with certainty if the particle is at rest? If not, within what range is its velocity likely to be found?