In the Bohr model of the hydrogen atom, a single electron revolves around a single proton in a circle of radius r. Assume that the proton remains at rest. A) By equating the electric force to the electron mass times its acceleration, derive an expression for the electron's speed. Express your answer in terms of electron's charge e, its mass m and orbit radius r. Express your answer in terms of the given quantities and appropriate constants.
B) Obtain an expression for the electron's kinetic energy. Express your answer in terms of the given quantities and appropriate constants.
C) Show that the electron's kinetic energy is just half that of the electric potential energy using your words. (I have no idea on this one, I assume it helps to answer B)
D) Obtain an expression for the total energy. Express your answer in terms of the given quantities and appropriate constants.
E) Calculate the total energy using r=5.29×10−11m. Give your answer in joules.
F) Give the answer of part (d) in eV.

You are still fascinated by the process of inkjet printing, as described in the opening storyline for this chapter. you convince your father to take you to his manufacturing facility to see the machines that print expiration dates on eggs. you strike up a conversation with the technician operating the machine. he tells you that the ink drops are created using a piezoelectric crystal, acoustic waves, and the plateau-rayleigh instability, which creates uniform drops of mass m = 1.25 ✕ 10−8 g. while you don't understand the fancy words, you do recognize mass! the technician also tells you that the drops are charged to a controllable value of q and then projected vertically downward between parallel deflecting plates at a constant terminal speed of 20.0 m/s. the plates are ℓ = 2.15 cm long and have a uniform electric field of magnitude e = 6.40 ✕ 104 n/c between them. noting your interest in the process, the technician asks you, "if the position on the egg at which the drop is to be deposited requires that its deflection at the bottom end of the plates be 0.17 mm, what is the required charge on the drop (in c)? " you quickly get to work to find the answer. (neglect the force of gravity.)