As computer structures get smaller and smaller, quantum rules start to create difficulties. Suppose electrons move through a channel in a microprocessor. If we know that an electron is somewhere along the 50 nm length of the channel, what is Δνx? If we treat the electron as a classical particle moving at a speed at the outer edge of the uncertainty range, how long would it take to traverse the channel?

As computer structures get smaller and smaller, quantum rules start to create difficulties. Suppose electrons move through a channel in a microprocessor. If we know that an electron is somewhere along the 50 nm length of the channel, what is Δνx? If we treat the electron as a classical particle moving at a speed at the outer edge of the uncertainty range, how long would it take to traverse the channel?

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

Similar questions

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?
An electron is located on a pinpoint having a diameter of 6.11 µm. What is the minimum uncertainty in the speed of the electron?
If the position of an electron in a membrane is measured to an accuracy of 3.58 µm, what is the electron's minimum uncertainty in velocity (in m/s)? a) If the electron has this velocity, what is its kinetic energy in eV? b) What are the implications of this energy, comparing it to typical molecular binding energies?
A photon passes through a horizontal slit of width 5 × 10-6 m. What uncertainty in the vertical position will this photon have as it emerges from the slit? What is the minimum uncertainty in the vertical momentum?
What is the smallest box in which you can confine an electron if you want to know for certain that the uncertainty in the electron’s speed is no more than 20 m/s?
If an electron is moving at 2m/s with an uncertainty of 10%, what is the minimum uncertainty in the electron’s position?
A pesky 1.5 mg mosquito is annoying you as you attempt to study physics in your room, which is 5.0 m wide and 2.5 m high. You decide to swat the bothersome insect as it flies toward you, but you need to estimate its speed to make a successful hit. (a) What is the maximum uncertainty in the horizontal position of the mosquito? (b) What limit does the Heisenberg uncertainty principle place on your ability to know the horizontal velocity of this mosquito? Is this limitation a serious impediment to your attempt to swat it?
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?
What is the minimum uncertainty in the speed of an electron that is known to be somewhere between 0.050 nm and 0.10 nm from a proton? v = _____ m/s
If the speed of an electron is measured to within an uncertainty of 2.0×10 4 m/s, what wouldbe the size of the smallest region of space in which the electron can be confined? me = 9.11×10 -31kg.
Which of the following is the best paraphrasing of theHeisenberg uncertainty principle?(a) Only if you know the exact position of a particle canyou know the exact momentum of the particle.(b) The larger the momentum of a particle, the smaller theposition of the particle.(c) The more precisely you know the position of a particle,the less well you can know the momentum of theparticle.(d) The better you know the position of a particle, thebetter you can know the momentum of the particle.(e) How well you can determine the position andmomentum of a particle depends on the particle’squantum numbers.
An electron has been accelerated by a potential difference of 100 V. If its position is known to have an uncertainty of 1 nm, what is the percent uncertainty (Δp/p×100) of the electron