Determining the number and location of angular and radial nodes

2. For each of the following orbitals, provide a perspective sketch of the orbital in the Cartesian x, y, z coordinate system. Determine the number of angular nodes and the number of radial nodes in the orbital, and describe where those nodes fall. For instance, the 2px orbital has an angular node in the yz-plane.

s: no angular node
p: one angular node
d: two angular nodes
f: ...

Solution Summary

Four orbital sketches are provided in this solution, along with information on where each angular and radial node falls, as well as the amount of both angular and radial nodes.

The period of a stone swung in a horizontal circle on a 2.00-m radius is 1.00 s.
a. What is its angular velocity in rad/s?
b. What is its linear speed in m/s?
c. What is its radial acceleration in m/s^2.

Hydrogen atom
Theradial probability density for an electron is r2R2(r). That means that the probability of finding an electron at a certain radius r within a radial thickness dr is dr* r2R2(r) for an infinitely thin shell and approximately r* r2avg R2(ravg) for a shell of finite thickness r.
The quantity ravg is some average

At t=3s, a point on the rim of a .2m radius wheel has a tangential speed of 50m/s as the wheel slows down with a tangential acceleration of constant magnitude 10m/s^2.
a) What is the constant angular acceleration?
b) What is theangular velocities at t=3s & t=0s
c) Through what angle did the wheel turn between t=0s & t=3s?

Define the quantum numbers required to specify the state of an electron in hydrogen. The spatial part of the wave function describing a particular hydrogen atom has no angular dependence. Give the values of all theangular momentum quantum numbers for the electron.

A cyclist competes in a one-lap race arond a flat, circular course of radius r. Starting from rest and speeding up at a constant rate throughout the race, the cyclist covers the entire course in a time delta t. The mass of the bicycle (including the rider) is m. Which of the following quantities are constant in this problem? (No

-----------
Show that if binary tree T is full at level i, then it is full at every level j smaller than i.
---------------
Show that the depth of the complete binary tree Tn for a general n is given by
D(Tn) = [log2n].
See attached for better format.
------------
Using induction, give a direct proof of Propo

A child is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/s^2. The child is standing 4.65m from the center of the merry-go-round. What angle does the acceleration of the child make with the tangential direction?

Given the following distances between destination nodes, what is the minimum distance that connects thenodes? Between nodes 1 - 2: 125; Between nodes 2 - 3: 150; Between nodes 1 - 3: 200
A. 125
B. 200
C. 275
D. 350
Given the following distances between destination nodes, what is the minimum distance that connects