Electron microscopes operate on the fact that electrons act as waves. A typical electron kinetic energy is 100. keV (1 eV = 1.602 x 10-19 J). What is the wavelength of such an electron?

Visible light falls into wavelength ranges of 400-700 nm, for which 1 m = 1 x 10° nm. The energy and wavelength of light are related by the equation hc E where E is energy in Joules, h is Planck's constant (6.626 × 10 34 J-s), c is the speed of light ( 2.998 x 10 m/s), and X is the wavelength in m. If a visible light photon has a wavelength of 407.6 nm, what is the energy of the photon (in J)?

An atom of silver has a radius of 165. pm and the average orbital speed of the electrons in it is about 1.0 × 10³m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of silver. Write your answer as a percentage of the average speed, and round it to 2 significant digits. % x10 X S

The electron microscope uses the wave property of electrons to observe very small objects. A moving electron has a wavelength described by the de Broglie equation. What would be the wavelength, in m, of an electron with a kinetic energy of 4.39 × 10⁻¹⁹ J, which would be equivalent to the energy of a photon in the visible region? (The mass of an electron is 9.11 × 10⁻²⁸ g.)

The work function (ϕ) for the a metal is 7.00 x 10 -19 J. What is the longest wavelength of electromagnetic radiation that can eject an electron from the surface of a piece of the metal?

What is the wavelength (in meters and in nanometers) of electromagnetic radiation whose energy per quantum is 3.97 x 10–21 J? What type of electromagnetic radiation is it?

A photon has an energy of 5.53 × 10–17 J. What is its frequency in s–1 ?

The kinetic energy of an electron is 20.5 keV; what is the frequency of this electron? Where 1 eV = 1.602 x 10-19 J. Must show all formulas and calculations used for steps taken to calculate frequency

28. What is the energy per mole of photons of light with a frequency of 6.39 x 10¹3 Hz?

When a metal was exposed to photons at a frequency of 1.31 x 105 s-', electrons were emitted with a maximum kinetic energy of 3.80 × 10-19 J. Calculate the work function, D, of this metal. J/photon What is the maximum number of electrons that could be ejected from this metal by a burst of photons (at some other frequency) with a total energy of 8.97 × 10-7 J? number of electrons: