Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
To resolve an object in an electron microscope, the wavelength of the electrons must be close to the diameter of the object. What kinetic energy, ?k�k , must the electrons have in order to resolve a protein molecule that is 4.30 nm4.30 nm in diameter? Take the mass of an electron to be 9.11×10−31 kg9.11×10−31 kg .
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 5 images
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) If the position of a chlorine ion in a membrane is measured to an accuracy of 1.00 m, what is its minimum uncertainty in velocity, given its mass is 5.8601026 kg? (b) If the ion has this velocity, what is its kinetic energy in eV, and how does this compare with typical molecular binding energies?arrow_forwardA. Electrons are ejected from a metal surface with speeds ranging up to 4.72E+5m/s when light with a wavelength of lambda = 650nm is used. What is the work function (in eV) of the surface? B. What is the cutoff frequency for this surface?arrow_forwardW79 Suppose an electron is confined in a box the size of a single atom, with volume L x L x L. A/ What is the uncertainty of the components of electron momentum? B/ Suppose each momentum component is just equal to the uncertainty value in A. Then what the electron energy? C/ For what wavelength would a photon have the same energy? [ 0.04 nm L. Give the energy in eV units, and the wavelength in nm.] (A) (B) (C)arrow_forward
- I need some help with the following problem. 1a. What is the maximum number of electrons that can be emitted if a potassium surface of work function 2.40 eV absorbs 5.00 x 10-3 J of radiation at a wavelength of 325 nm? b. What is the kinetic energy and velocity of the electrons emitted?arrow_forwardTo resolve an object in an electron microscope, the wavelength of the electrons must be close to the diameter of the object. What kinetic energy must the electrons have in order to resolve a protein molecule that is 7.00 nm in diameter? Take the mass of an electron to be kg.arrow_forwardCesium has a work function of 2.14 eV where 1.0 eV = 1.602 x 10^-9J. If radiation with a wavelength of 245 nm shines on a cesium surface what will be the de Broglie wavelength of the emitted electron? a. 718 pm b. 728 pm c 710 pm d. 698 pm e. 678 pmarrow_forward
- The de Broglie wavelength of an electron has to do with spatial resolution of an electron microscope, which is often expressed in the unit of length Å (Angstrom). The 1 V potential difference causes an electron to gain kinetic energy EK of 1 electron Volt (eV). In the SI units, kinetic energy in eV must be converted to Joules. The conversion factor is 1 eV = 1.6 x 10-19 Joule. And, the formula for the wavelength is: λ = h / p = h / √(2 m EK) where m is electron mass. Calculate the de Broglie wavelength of an electron (in Å) when the electron is accelerated from rest through a potential difference of: a) 1 kV = 1,000 V (a low resolution setting of microscope), b) 10 kV = 10,000 V (intermediate resolution). c) 100 kV = 100,000 V (high resolution),arrow_forwardAn electron is located on a pinpoint having a diameter of 6.11 µm. What is the minimum uncertainty in the speed of the electron?arrow_forwardTo resolve an object in an electron microscope, the electrons' wavelength must be close to the diameter of the object. What kinetic energy must the electrons have in order to resolve a protein molecule that is 8.10 nm in diameter? Take the mass of an electron to be 9.11 ×× 1031 kg.arrow_forward
- D 11.5arrow_forwardCalculate the velocity (in m/s) of an electron that has a wavelength of 8.76 µm. m/s (b) Through what voltage (in V) must the electron be accelerated to have this velocity? (Assume the electron starts at rest.) Varrow_forwardAn electron microscope passes 1.00-pm-wavelength electrons through a circular aperture 2.00 μm in diameter.What is the angle between two just-resolvable point sources for this microscope?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill