4. Find typical size of the De Broglie wave function for molecule of air. How does...
How does the de Broglie wavelength of an electron change if its momentum increases? How does the de Broglie wavelength of an electron change if its kinetic energy decreases?
8. Find the kinetic energy of an electron whose de Broglie wave- length is the same as that of a 100-keV x-ray. 9. Green light has a wavelength of about 550 nm Through what
Which statement about the wave function for a single electron is NOT correct? 1- Louis de Broglie postulated that the wavelength of an electron is given in terms of Planck's constant and its momentum, λ = h / p. 2- A French graduate student named Louis de Broglie first had the idea that an electron should be described as a wave. 3-The amplitude of a wave function at a particular point in space equals the probability density of finding the...
Learning Goal: To understand de Broglie waves and the calculation of wave properties. In 1924, Louis de Broglie postulated that particles such as electrons and protons might exhibit wavelike properties. His thinking was guided by the notion that light has both wave and particle characteristics, so he postulated that particles such as electrons and protons would obey the same wavelength-momentum relation as that obeyed by light: λ=h/p, where λ is the wavelength, p the momentum, and h Planck's constant. Part...
The ionization potential of a hydrogen atom is 13.6 eV. How does this compare to the energy of a typical particle at the recombination epoch, when the temperature of the universe was 3000 K. How does that compare to the energy of photons at the peak of the Planck function at that time? What can you conclude from these comparisons?
door. Room A, however, is Wa Which room contains the greater mass of air? Xp Problem 1.12. Calculate the average volume per molecule for an ideal gas at take the cube root to get an estimate of the average distance between molecules. How does this distance room temperature and atmospheric pressure. Then compare to the size of a small molecule like N2 or H20? tely the number of protons in a gram of
4. The wave function for an electron in the ground state of a hydrogen atom is How much more likely is the electron to be at a distance a from the nucleus than at a distance a-/2? Than at a distance 2a ?
4. Solve problems () to (e) below. (a) The wave function for a traveling wave along the x axis on a ta string is in Si units) Wx.1-0.300 sin(4x + 1x). From this find this wave's speed v. m) wavelength (1) angular frequency e, and (iv) amplitude 4. (b) The power output of a certain public-address speaker is 6.90 W. Suppose it broadcasts equally in all directions. At what distance from the speaker would the sound have an intensity of...
A wave is modeled with the function y ( x , t ) = 0 . 2 5 cos ( 0 . 3 0 x − 0 . 9 0 t + π/ 3 ) where all lengths are in meters and all times in seconds. a. Find the wavelength of the wave. b. Find the period of the wave. c. Find the wave speed (a positive number). d. What is the instantaneous velocity of one of the particles that...
h2 4. In a region of the x-axis, a particle has a wave function given by y(x) = Ae-*4722° and energy where L is some length. (a) Find the potential energy as a function of x, and sketch V (x) versus x. (b) What is the classical potential (or corresponding force function) that has this dependence? (c) Find the kinetic energy as a function of x. (d) Show that x = L is the classical turning point (i.e. the place...