Learning Goal: To understand the Bohr model of the hydrogen atom In 1913 Niels Bohr formulated a method of calculating the different energy levels of the hydrogen atom. He did this by combining both classical and quantum ideas. In this problem, we go through the steps needed to understand the Bohr model of the atom. Part A Consider an electron with charge -e and mass m orbiting in a circle around a hydrogen nucleus (a single proton) with charge +e. In the classical model, the electron orbits around the nucleus, being held in orbit by the electromagnetic interaction between itself and the protons in the nucleus, much like planets orbit around the sun, being held in orbit by their gravitational interaction. When the electron is in a circular orbit, it must meet the condition for circular motion: The magnitude of the net force toward the center, Fe, is equal to mv2/r. Given these two pieces of information, deduce the velocity of the electron as it orbits around the nucleus. Express your answer in terms of e, m, r, and eo, the permittivity of free space. ► View Available Hint(s) V = || ΑΣΦ e Απε, rm ?

The electronic structure of a toms and molecules may be investigated using photo eletrons spectroscopy An electron in is to electron spectro mater Hoy a uniform electric field to a speed of 420kms-1 in 10µs. determine the kinetic energy of the electron Pho accelerated from nes @ 8.0x10-20 Nm 1.6x10-25 N.m 38 x 10-25 N.m d the electronic structune ota toms and maecules may be investigated using photo electron spectroscopy. An electron in a photo electron spectrometer is accelerated from rest by a uniform electric field to a speed of 420km s-lin 10,us Determine the magnitude ofthe work done on the election a b @ 160x10-25 16×10-191 490.102 50.10-201 4.0x10-2p.m L (

4. MILLIKAN EXPERIMENT. An oil drop with a mass of 3.1 x10-1$kg absorbs 11 electrons, and then falls through an opening in two parallel, horizontal plates 1.8 cm apart. The upper plate is positive. a) Determine the charge absorbed by the oil drop. b) Determine the required potential difference between the plates in order for the oil drop to be suspended between the two plates.

7. Determine the velocity of the electron in a positronium atom which is shown in the figure (figure is attached). Assume the radius of the positronium atom is 2 x 5.3 x 10 cm a) What is the total angular momentum about the center of the positronium atom in Problem 7? b) What is the force on the electron due to the positron? (Give both magnitude and direction.) c) What is the electric potential energy of the positronium atom?

While being X-rayed, a person absorbs 3.9x10 J of energy. Part A Determine the number of 40,000-eV X-ray photons absorbed during the exam. " Templates Symbols undo rego reset keyboard shortcuts Help n= Submit Request Answer

Solve using GUESS method. Atomic and Nuclear Phenomena 2. The work function of a metal is 2.6 eV. What is the longest wavelength of radiation that can eject a photoelectron from this metal?

Using the symmetry of the arrangement, determine the direction of the force on +q in the figure below, given that: Case I. qa=qb= +6.5 μC and qc = qd = +6.5 μC. (a) In your notebook, draw the forces on q due to qar qb²9c² (b) Due to symmetry the direction of the net force is F O qc net ✔N O qd Hint: For each force draw the x and y components. Some will add and some will cancel. (c) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q = 2.3 μC. and 9d- X