The state of the atomic electron is usually described by a wave function «nlm. briefly explain what each of n, l, and m are and state which values each can take. why are they called good quantum numbers? (ii) the atomic electron in its ground state is described by the wave function v 100 = 3/2 e9 erlag 9: " 2 show that this wave function is normalized. calculate the expectation values (r) and (rº) in this state, and determine the standard deviation ar. (iii) what is the probability density for a state described by a wave function vér, t)? state the conservation law for the probability density. (iv) calculate the probability current density for the atomic electron in its ground state. give reasons for the result you find. (v) outline the calculation of the probability current density for the atomic elec- tron in an arbitrary bound state y nem. what can you say about the direction of the probability current density vector?

What is the relationship between wavelength of light and the quantity of energy per photon?

Researchers conducted an experiment to identify the effects of three different hand sanitizers on the growth of bacteria. the researchers grew one type of bacteria in twenty-four identical covered petri dishes. then, they opened eighteen petri dishes and applied the three hand sanitizers to six petri dishes each. they left the remaining six petri dishes closed as a control group. when the researchers measured the growth of bacteria two days later, the six dishes that had no hand sanitizer showed the least amount of bacterial growth. the researchers concluded that not using any hand sanitizer would lead to the least bacterial growth. which statement best explains why the researchers’ conclusion was not justified? the experiment tested too many variables. the control group was not treated the same as the experimental group. the sample size of twenty-four petri dishes is not large enough. the single type of bacteria is not adequate to make any conclusions.

Estimate the kinetic energy of mars with respect to the sun as the sum of two terms, that due to its daily rotation about its axis, and that due to its yearly revolution about the sun. (assume mars is a uniform sphere with mass = 6.4×10 to the power of 23 kg, radius = 3.4×10 to the power of 6 m, rotation period = 24.7 hours, orbital period = 686 days and is 2.3×10 to the power of 8 km from the sun.)