calculate the de Broglie wavelength of electrons accelerated through 50kV. (b) Is the relativistic correction important? 19.2 Electron microscopes can obtain images with much higher resolution than optical microscopes because of the short wavelength obtainable from a beam of electrons. For electrons moving at speeds close to c, the speed of light, the expression for the de Broglie wavelength (eqn 7A.11, 1= h/p) needs to be corrected for relativistic effects: h 2m eAq 1+ 2m.c where c is the speed of light in vacuum and Aø is the potential difference through which the electrons are accelerated. (a) Use the expression above to

calculate the de Broglie wavelength of electrons accelerated through 50kV. (b) Is the relativistic correction important? 19.2 Electron microscopes can obtain images with much higher resolution than optical microscopes because of the short wavelength obtainable from a beam of electrons. For electrons moving at speeds close to c, the speed of light, the expression for the de Broglie wavelength (eqn 7A.11, 1= h/p) needs to be corrected for relativistic effects: h 2m eAq 1+ 2m.c where c is the speed of light in vacuum and Aø is the potential difference through which the electrons are accelerated. (a) Use the expression above to

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

What is the wavelength, in nanometers, of light with an energy content of 3.67 × 104 kJ mol −1?
1. The workfunction () of platinum is 5.65 eV (1 eV = 8,064 cm = 1.602 x 1019 J). What is the minimum frequency of flight required to observe the photoelectric effect on Pt? If 150 nm light were absorbed on the surface, what is the velocity of the ejected electrons?
1C.3
If an electron confined to a potential well of width 1.40 nm with infinite barriers on both sides transitions from n=10 to n=9, what will the wavelength of the emitted radiation be?
Calculate the de Brogile wavelength of a proton travelig at 3.89 x 10^8 m/s if the mass of the hydrogen molecule is 1.67 x 10^-24 g.
An electron moves in a two-dimensional rectangular box with the dimensions, Lx= 5.00 Å and Ly =3.00 Å. Calculate the energy of the absorbed photon in cm"l when it makes a transition from the ground state to the 1st excited state.
What is the de Broglie wavelength of an oxygen molecule, O_(2), traveling at 521(m)/(s) ? Is the wavelength much smaller or much larger than the diameter of an atom (on the order of 100pm)?
Answer the following questions about a Blu-ray laser:(a) The laser on a Blu-ray player has a wavelength of 405 nm. In what region of the electromagnetic spectrum is this radiation? What is its frequency? (b) A Blu-ray laser has a power of 5 milliwatts (1 watt = 1 J s−1). How many photons of light are produced by the laser in 1 hour? (c) The ideal resolution of a player using a laser (such as a Blu-ray player), which determines how close together data can be stored on a compact disk, is determined using the following formula: Resolution = 0.60(λ/NA), where λis the wavelength of the laser and NA is the numerical aperture. Numerical aperture is a measure of the size of the spot of light on the disk; the larger the NA, the smaller the spot. In a typical Blu-ray system, NA = 0.95. If the 405-nm laser is used in a Blu-ray player, what is the closest that information can be stored on a Blu-ray disk? (d) The data density of a Blu-ray disk using a 405-nm laser is 1.5 × 107 bits mm−2. Disks have…
how many photons are there in a 7.00 mJ laser beam of wavelength 785 nm?
Calculate the energy of a mole (einstein) of photons with wavelength 485.4 nm.