Task 4.1
What kinetic energy should an electron have, so that the de Broglie wavelength is equal to
Its Compton wavelength?

Task 4.11
The average distance of the electron from the nucleus in the unexcited hydrogen atom is 52.9 pm. Calculate
Minimum uncertainty of the electron velocity in the atom.

Problem 4.21
The alpha particle is in an infinitely deep one-dimensional potential well. What is the width
If the minimum particle energy is 6 MeV.

Task 4.31
How many lines of the spectrum of the hydrogen atom fall into the visible region (? = 0.40 - 0.76 μm)? Calculate
Wavelengths of these lines. What colors do they match?

Task 4.41
Calculate the mass defect, the binding energy and the specific energy of the deuterium bond.
Problem 4.51
Calculate the thickness of the half-absorption layer of lead for gamma rays whose wavelength is equal to
0.775 nm.

Task 4.61
Molybdenum has a body-centered cubic lattice. Calculate the density of molybdenum and
The distance between the nearest neighboring atoms if the lattice parameter is 0.315 nm.

Task 4.71
Calculate the molar heat capacities of diamond and cesium at a temperature of 200 K. The Debye temperature for diamond
And cesium, respectively, equal to 1860 K and 38 K.