(a) Using the Pauli exclusion principle and the rules relating the allowed values of the quantum numbers n, l, ml , ms , prove that the maximum number of electrons in a subshell is 2n2 . (b) In a similar manner, prove that the maximum number of electrons in a shell is 2n2.
Physics 1500 Week of August 14, 2016 Dr. Hebert Physics Units o Study of the fundamental laws of the universe o Without units, most numbers in physics are meaningless Example: weight o SI units – units give scale o Fundamental qualities of nature have fundamental units Length o Distance between two points in space o Meter (m) o 1 m approx. 3 feet Time o Physical quantity at a constant pace Steadily marches forward o Seconds (s) Mass o Fundamental measure of how much stuff makes up an object o NOT THE SAME as weight o “if you travel to the moon, mass is the same as earth, however, weight will be different” o kilogram (kg) Prefixes o SI makes comparison easy o Table 1.4 in book o Nano, micro, milli, centi, kilo, mega Derived Units o Combination of fundamental units (density, speed) o Some have names (Newtons, Joules) o Can have prefixes Dimensional Analysis o Natural ideas that are represented by units o Used to make sure our units match what we expect Unit Conversion o Can be treated like algebraic quantities Example: Moving 30 mph, how fast is speed in feet per second August 18, 2016 Motion in One Direction o Position – where an object is in space relative to some reference point o Reference point- origin of