Answered: Suppose the x-component of the velocity…

Suppose the x-component of the velocity of an electron has been measured to an accuracy of 10 -2 mm/s. What is the minimum uncertainty in the position along the x-axis? And along the y-axis?

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 19P

See similar textbooks

Related questions

Q: (a) If the position of an electron in an atom is measured to an accuracy of 0.0100 nm, what is the…

A: (a) Write the expression for the Heisenberg uncertainty principle, and and solve for the…

Q: A laser produces light of wavelength 586 nm in an ultrashort pulse. What is the minimum duration of…

Q: certain particle energy is known within 10^-18 J. What is the minimum uncertainty in its arrival…

A: Given Uncertainty in energy = 10-18 J

Q: A measurement is made of a photon’s energy (from a laser) that results in an uncertainty in the…

Q: An electron is moving with a speed of 5 x 10^6 m/s (± 2 x 10^-2 m/s). Using thisinformation,…

Q: A 1.0 kg ball has a position uncertainty of 0.20 m. What is its minimum momentum uncertainty?…

A: The mass of the ball is m = 1.0 kg. The position uncertainty of the ball is ∆x=0.20 m Assume the…

Q: A 26.4 eV electron has a 0.239 nm wavelength. If such electrons are passed through a double slit and…

A: Wavelength of the electron λ = 0.239 nm = 0.239×10-9m The angle between the original direction and…

Q: Determine the probability of an electron in the region of x = 0.490L and 0.510L in a box of length L…

A: It is given that an electron lies in a certain region.

Q: In a nonrelativistic experiment, an electron and a proton are each located along the x-axis to…

A: Given data The uncertainty of electron and proton is given as Δxe = Δxp = 4.80 μm. Now, the…

Q: A laser produces light of wavelength 665 nm in an ultrashort pulse. What is the minimum duration of…

Q: Suppose the minimum uncertainty in the position of a particle is equal to its de Broglie wavelength.…

A: Given: The average speed is 4.5x105 m/s.

Q: What are the maximum electron speed and the stopping potential if sodium is illuminated with light…

A: The maximum speed that the photoelectron can have, can be obtained from the photoelectric equation…

Q: Let’s consider the DeBroglie principle for electron microscopy. In electron microscopy, the energy…

Q: An electron is confined to a region of space of length 0.19 nm— comparable in size to an atom. What…

A: E1=n2h28mL2E1=126.626×10-34 Js289.11×10-31 kg0.19×10-9 m2E1=1.7×10-18 J The first allowed energy is,…

Q: Assuming that the precision in the linear momentum of a particle is equal to the particle momentum…

A: given: uncertainty in momentum is equals to its momentum ∆p=p

Q: You are able to determine an electron's location within an uncertainty of 430 nm. What is the…

A: This question is based on Heisenberg's Uncertainty principle. The Heisenberg's Uncertainty principle…

Q: An electron is trapped within a sphere whose diameter is 5.40×10−155.40×10−15 m (about the size of…

A: The expression for the minimum uncertainty in electron’s momentum,

Q: What voltage is needed to produce electron wavelengthsof 0.26 nm? (Assume that the electrons are…

A: The de Broglie wavelength λ of the electron is given by the following equation. Here, h is the…

Q: An electron is located on a pinpoint having a diameter of 6.11 µm. What is the minimum uncertainty…

Q: The velocity of a 1.0 g projectile is 1.0 x 10-6 m/s. Calculate the minimum uncertainty in your…

A: Given : Mass of particle = 1 g = 10-3 Kg Velocity of projectile = 1.0×10-6 m/s To Find :…

Q: An electron microscope passes 1.00-pm-wavelength electrons through a circular aperture 2.00 µm in…

A: Wavelength is λ=1.00 pm= 1.00×10-12 m Diameter of the circular aperture is, D = 2.00 μm=2.00×10-6 m…

Q: What is the maximum kinetic energy of electrons knocked out of a thin copper foil by Compton…

Q: The spacing between atomic planes in a crystal is 0.110 nm. If 12.0 keV x rays are diffracted by…

A: The expression for find wavelength of the X-ray is KE=hcλλ=hcKE Substitute values in the above…

Q: an electron is trapped within a sphere that has a diameter of 6*10^-15 what is the minimum…

A: According to the Heisenberg's uncertainty principle, ∆p=h4π∆x Here, ∆p is the uncertainty in the…

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

Q: An electron has been accelerated by a potential difference of 100 V. If its position is known with…

Q: An ultrashort pulse has a duration of 8.00 fs and produces light at a wavelength of 557 nm. What are…

A: We know the uncertainty relation between position and momentum given by ∆E.∆t >_ h/4π For minimum…

Q: The minimum uncertainty in the energy state of a stom if an electron remains in the state for about…

A: Given data: Uncertainty in time is, ∆t=10-8 s.

Q: The uncertainty in the position of an electron along an x axis is given as 50 pm, which is about…

Q: If the position of an electron is within the 10 pm interval, what is the uncertainty of the…

Q: The uncertalinty in position of an electron is 6.05x10-10m. Fina the minimum uncertainty in the…

Q: e ground state of a 1D infinite square well (width=1.222nm) is illuminated with light…

A: Width of the infinite square well L = 1.22 nm The wavelength of the light λ= 547 nm Find:- Into…

Q: 6. [-/1 Points] DETAILS COLFUNPHYS1 29.P.013. MY NOTES Find the de Broglie wavelength of a baseball…

Q: . If an electron’s position can be measured to a precision of 2.0 x10-8mwhat is the uncertainty in…

A: here, we are applying the heinsberg's uncertainty principle to find the uncertainty in this…

Q: Given a quantum particle trapped in an infinite 1D potentialwell of length L wave-function is A ex…

Q: In the ground state of hydrogen, the uncertainty in the position of the electron is roughly 0.10 nm.…

A: From uncertainty principle, the minimum uncertainty in the momentum of the electron is,

Q: A laser produces light of wavelength 725 nm in an ultrashort pulse. What is the minimum duration of…

Q: A photon passes through a horizontal slit of width 5 × 10-6 m. What uncertainty in the vertical…

A: Given: The width of the slit is ∆r=5×10-6 m. The expression to calculate the minimum uncertainty…

Q: The binding energies of K-shell and L-shell electrons in copper are 8.979 and 0.951 keV,…

Q: An electron is confined between two perfectly reflecting walls separated by the distance 10 x…

A: We have ∆x=10*10-11m. We need to find the lowest energy of the electron using uncertainty…

Q: What is the kinetic energy of an electron in a TEM having a 0.0100-nm wavelength?

Q: A particle is in a state evaluate the uncertainty product Ar Ap,. Hint: frear" dr = 1.3..2n– 1)\#…

A: The wavefunction is given as : ψ=1π14e-x22 Let us first calculate the uncertainty in x i.e. ∆x.…

Q: An electron microscope passes 1.00-pm-wavelength electrons through a circular aperture 2.00 μm in…

A: Given: Wavelength = 1 pm = 1 x 10-12 m diameter of aperture, d = 2 micrometer = 2 x 10-6 m

Q: assume that an electron is moving along the x-axis and that you measure its speed to be…

A: According to the Heisenberg Uncertainity principle, ∆x×∆v=h2πm .... (1) Where, h is the…

Question

100%

Suppose the x-component of the velocity of an electron has been measured to an accuracy of 10 ^-2 mm/s. What is the minimum uncertainty in the position along the x-axis? And along the y-axis?

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 with 6 images

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

For the preceding problem, what happens to the minimum wavelength if the voltage across the X-ray tube is doubled?
A quantum mechanical oscillator vibrates at a frequency of 250.0 THz. What is the minimum energy of radiation it can emit?
Can the de Brogue wavelength of a particle be known exactly?
A velocity measurement of an a-particle has been performed with a precision of 0.02 mm/s. What is the minimum uncertainty in its position?
At what velocity will an electron have a wavelength of 1.00 m?
A quantum particle with initial kinetic energy 32.0 ev encounters a square barrier with height 41.0 ev and width 0.25 nm. Find probability that the particle tunnels through this barrier if the particle is (a) an electron and, (b) a proton.
What is the maximum kinetic energy of photoelectrons ejected from sodium by the incident radiation of wavelength 450 nm?
If the position of an electron in a membrane is measured to an accuracy of 1.00 μm , what is the electron’s minimum uncertainty in velocity?
assume that an electron is moving along the x-axis and that you measure its speed to be 20.5*10^6m/s, which can be known with of precision of 0.50%. what is the minimum uncertainty (as allowed by the uncertainty principle in quantum theory )with which you can simultaneously measure the position of the electron along the x-axis?
A proton is confined to a nucleus whose diameter is 5.5 × 10^−15 ?. If this distance is considered to be the uncertainty in the position of the proton, what is the minimum uncertainty in its momentum?
Suppose the position of a chlorine ion in a membrane is measured to an accuracy of 0.75 μm. a) What is its minimum uncertainty in velocity in meters per second, given its mass is 5.86 × 10-26 kg? b) If the ion is measured to have a velocity of 8.9 × 103 m/s, what is the uncertainty in its kinetic energy in electron volts?