An electron has debroglie wavelength of 2X10^-12m. Find the phase and group velocities of it's de broglie waves Q6.The de-Broglie wavelength of associated with an electron is 2 X 10-¹2 m. find its group velocity andphase velocity. ight?An electron has a de Broglie wavelength of 2 x 10-12 m. Find the phaseand group velocities of its de Broglie waves. Rest mass energy of electronis 0.511 MeV.18/06/2022 18:55Consider a particle tranned in an infinite potential box of width

Given data, Wavelength λ=2×10-12 m Rest mass energy m0c2=0.511 Mev

Answered: An electron has a de Broglie wavelength…

An electron has a de Broglie wavelength of 2 x 10-12 m. Find the phase and group velocities of its de Broglie waves. Rest mass energy of electron is 0.511 MeV.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter27: Quantum Theory

Section27.2: Matter Waves

Problem 30SSC

See similar textbooks

Related questions

Q: Find the phase and group velocities of the de Broglie waves of an electron whose kinetic energy is…

A: Given: Kinetic energy of electron is given as 500 KeV.

Q: On average, people in Adelaide have a mass of m = 85.5 kg and walk at a speed of v = 2.12 ms1, If we…

A: Given,

Q: Calculate the de Broglie wavelength of a He atom at 27 degrees Celsius and v = 2.4 × 1000.

A: It is given that,

Q: The de Broglie wavelength of a 0.060 kg golf ball is 4.28 x 10^-34 m. What is its speed? (Ans. 26…

A: From de Broglie equation, the wavelength of a particle is expressed as: Rearrange the above…

Q: an electron has a de broglie wavelength of 2pm=2*10^-12. Find its kinetic energy and the phase and…

A: Wavelength is given Mass of electron Plank's constant

Q: The de Broglie wavelength (in nanometer) for an electron moving with 5.739 x 10“ m/s is:

A: Given: The speed of the electron is 5.739x104 m/s.

Q: If a proton and an electron have the same kinetic energy, which has the longer de Broglie…

A: Given: A proton and an electron has same kinetic energy.

Q: Draw a plot showing the variation of de Broglie wavelength of electron as a function of its K.E.

A: The de Broglie wavelength is given by λ =hp where, p is the momentum

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

A: Given:- a) ve = 5.4 x 106 m/s me = 9.1 x 10-31 kg b) mb = 150 g = 0.15 kg vb = 30 m/s

Q: What do you understand by the wave-particle duality? Estimate the de Broglie wavelength of an…

Q: An electron is located on a pinpoint having a diameter of 2.5 µm. What is the minimum uncertainty in…

Q: An electron is in a box of width 3.0x10-10 m. What are the de Broglie wavelength and the magnitude…

A: The energy of the particle in one dimensional box is E=n2π2h22ma2 where E is the energy, n is the…

Q: The interatomic spacing in a crystal of table salt is 0.282 nm. This crystal is being studied in a…

A: Solution:-Given thatInteratomic spacing=0.282 nm=0.282×10-9 mmass of neutron (m)=1.67×10-27 kgDe…

Q: Compare the momentum and energy of an electron and photon whose de Broglie wavelength is 650 nm.

Q: Learning Goal: To understand de Broglie waves and the calculation of wave properties. In 1924, Louis…

A: The width of the slit is The distance of the screen is The distance of the 1st intensity minima from…

Q: An electron is accelerated from rest through a potential difference so that its de Broglie…

A: Given that the de broglie wavelength and We have to determine the value of potential difference.

Q: a) Find the de Broglie wavelength of electrons moving with an average speed of 1.55 x 105 m/s. b)…

A: Solution:Given:v = average speed of electrons = 1.55 x 105 m/sm = mass of electron = 9.11 x 10-31 kg…

Concept explainers

Blackbody

Q.5 A blackbody radiates how much energy when the temperature of the body is elevated?

Question

An electron has debroglie wavelength of 2X10^-12m. Find the phase and group velocities of it's de broglie waves

Q6.
The de-Broglie wavelength of associated with an electron is 2 X 10-¹2 m. find its group velocity and
phase velocity.

ight?
An electron has a de Broglie wavelength of 2 x 10-12 m. Find the phase
and group velocities of its de Broglie waves. Rest mass energy of electron
is 0.511 MeV.
18/06/2022 18:55
Consider a particle tranned in an infinite potential box of width

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step by step

Solved in 7 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

A physicist is watching a 15-kg orangutan at a zoo swing lazily in a tire at the end of a rope. He (the physicist) notices that each oscillation takes 3.00 s and hypothesizes that the energy is quantized. (a) What is the difference in energy in joules between allowed oscillator states? (b) What is the value of n for a state where the energy is 5.00 J? (c) Can the quantization be observed?
(a) Calculate the velocity of an electron that has a wavelength of 1.00 m. (b) Through what voltage must the electron be accelerated to have this velocity?
(a) Find the velocity of a neutron that has a 6.00-fm wavelength (about the size of a nucleus). Assume the neutron is nonrelativistic. (b) What is the neutron's kinetic energy in MeV?
A color television tube generates some X-rays when its election beam strikes the screen. What is the shortest wavelength of these X-rays, if a 30.0-kV potential is used to accelerate the electrons? (Note that TVs have shielding to prevent these X-rays from exposing viewers.) 78. An X-ray tube has an applied voltage of 100 kV. (a) What is the most energetic X-ray photon it can produce? Express your answer in electron volts and joules, (b) Find the wavelength of such an X-ray.
What is the binding energy in eV of electrons in magnesium, if the longest-wavelength photon that can eject electrons is 337 nm?
(a) If one subshell of an atom has 9 electrons in it, what is the minimum value of l ? (b) What is the spectroscopic notation for this atom, if this subshell is part of the n=3 shell?
(a) A -ray photon has a momentum of 8.001021kgm/s. What is its wavelength? (b) Calculate its energy in MeV.
The rate at which solar wind particles enter the atmosphere is higher during the day than at night, yet the intensity of the auroral emissions remains high well after the Sun has set. Can you suggest a means by which the atmospheric molecules might be able to radiate long after the period of collisions with charged particles has ended? (Hint: How long does it take a typical atom to radiate from a normal allowed energy state? How could this time be lengthened?)
(a) Calculate the momentum of a photon having a wavelength of 2.50 m. (b) Find the velocity of an electron having the same momentum. (c) What is the kinetic energy of the electron, and how does it compare with that of the photon?
Integrated Concepts A laser with a power output of 2.00 mW at a wavelength of 400 nm is projected onto calcium metal. (a) How many electrons per second are ejected? (b) What power is carried away by the electrons, given that the binding energy is 2.71 eV? (c) Calculate the current of ejected electrons. (d) If the photoelectric material is electrically insulated and acts like a 2.00-pF capacitor, how long will current flow before the capacitor voltage stops it?
(a) Calculate the number of photoelectrons per second ejected from a 1.00-mm2 area of sodium metal by 500-nm M radiation having an intensity of 1.30 kW/m2 (the intensity of sunlight above the Earth's atmosphere). (b) Given that the binding energy is 2.28 eV, what power is carried away by the electrons? (c) The electrons carry away less power than brought in by the photons. Where does the other power go? How can it be recovered?
A photon of wavelength 700 nm is incident on a hydrogen atom. When this photon is absorbed, the atom becomes ionized. What is the lowest possible orbit that the electron could have occupied before being ionized?