Question

In: Physics

Photons, electrons and atoms: The work function ( ) of electrons in sodium is 2.28 eV....

Photons, electrons and atoms:

The work function ( ) of electrons in sodium is 2.28 eV.

b. What total momentum ?(?,) (formula) is transferred to the metal surface when a photon is incident vertically and the photoelectron is emitted in the opposite direction?

c. Assume that a (resting) free electron could completely absorb a photon. What wavelength would the photon have to have in order for the momentum balance to be fulfilled in this case as well? Use the so-called Compton wavelength . Compare the photon energy with the rest energy of the electron

d. Individual sodium atoms absorb and emit particularly well at a wavelength of 589 nm, the so-called sodium D-line. What is the velocity and de-Broglie wavelength of a previously resting sodium atom that emitted such a photon? What temperature does a sodium gas with this average velocity have?

Solutions

Expert Solution


Related Solutions

Barium has a work function of 2.48 eV. What is the maximum kinetic energy of electrons...
Barium has a work function of 2.48 eV. What is the maximum kinetic energy of electrons if the metal is illuminated by UV light of wavelength 420 nm? eV What is their speed? m/s
The work function for nickel is 5.15 eV. (a) Convert the value of the work function...
The work function for nickel is 5.15 eV. (a) Convert the value of the work function from electron volts to joules. J (b) Find the cutoff frequency for nickel. Hz (c) What maximum wavelength of light incident on nickel releases photoelectrons from the nickel's surface? nm (d) If light of energy 7.12 eV is incident on nickel, what is the maximum kinetic energy of the ejected photoelectrons? Give the answer in electron volts. eV (e) For photons of energy 7.12...
Consider a neutral metal with a work function of 2.0 eV ( 1 eV = 1.602...
Consider a neutral metal with a work function of 2.0 eV ( 1 eV = 1.602 10^-19 J). The metal absorbs a photon of wavelength 200 nm. a) Could an electron be ejected? If so, what would the speed of the electron be? b) What is the speed of an electron with a wavelength of 10 nm? c)If we measure the momentum of the electron from part b) to within 1% uncertainty ( p=p = 1% ), what is the...
With work shown. 7. Calculate the number of sodium atoms in 4.66 moles of sodium. 8....
With work shown. 7. Calculate the number of sodium atoms in 4.66 moles of sodium. 8. What is the molar mass fo a substance if 0.6502 moles of the substance has a mass of 19.27 grams? 9. How many grams are present in 7.5 moles of Cu (NO3)2? 10. How many atoms are present in a Mg sample with a mass of 14.6 grams? 11. How many atoms of H are present in 37.6 g of NH3? 12. How many...
Electrons of energies 10.2 eV, 12.09 eV, and 13.06 eV colliding with a hydrogen atom, can...
Electrons of energies 10.2 eV, 12.09 eV, and 13.06 eV colliding with a hydrogen atom, can cause radiation to be emitted from the latter. Calculate in each case the principle quantum number, n, of the orbit to which the electron in the hydrogen atom is raised and the wavelength of the radiation emitted if it drops back to the ground state.
Atoms at rest emit photons isotropically. For an observer watching a beam of atoms moving at...
Atoms at rest emit photons isotropically. For an observer watching a beam of atoms moving at speed 0.9 c relative to the lab, does the emission appear isotropic to an observer in the lab? For photons emitted at angles 0,30,60,90,120,150,180 in the reference frame of the atoms, what angles of emission does the observer see? Describe qualitatively and draw the distribution of emission. Will atoms appear brighter as they approach or recede from the observer?
The work function for silver is 4.7 eV. (a) Find the threshold frequency and wavelength for...
The work function for silver is 4.7 eV. (a) Find the threshold frequency and wavelength for the photoelectric effect to occur when monochromatic electromagnetic radiation is incident on the surface of a sample of silver. Hz nm (b) Find the maximum kinetic energy of the electrons if the wavelength of the incident light is 180 nm.   eV (c) Find the maximum kinetic energy of the electrons if the wavelength of the incident light is 240 nm. eV
The work function for aluminum is 4.08 eV. (a) What is the cutoff frequency of light...
The work function for aluminum is 4.08 eV. (a) What is the cutoff frequency of light incident on an aluminum target that releases photoelectrons from its surface? (b) Find the corresponding cutoff wavelength. (c) If photons of energy 5.0 eV are incident on an aluminum target what is the maximum kinetic energy of the ejected photoelectrons? (d) what is the maximum velocity of a photoelectron traveling from the anode to the cathode of a photocell? (e) If a blue beam...
1. Calculate the permeability of electrons with energy of 0.1 eV and 0.5 eV respectively when...
1. Calculate the permeability of electrons with energy of 0.1 eV and 0.5 eV respectively when penetrating a positional energy barrier of 1.0 eV in height and 100 pm in length by tunnel phenomenon. k Attachment image=[2m(V-E)]^1/2 T={1+(e^kL-e^-kL)^2/16ε(1-ε)}^-1 (ε= E/V) 2. Explain the meaning of tunneling covered in the above problem with the wave and explain the difference between classical and quantum mechanics based on it.
Incident photons of energy 11,905 eV are Compton scattered, and the scattered beam is observed at...
Incident photons of energy 11,905 eV are Compton scattered, and the scattered beam is observed at 66 degrees relative to the incident beam. What is the energy of the scattered photons at that angle, in eV?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT