00:01
Okay, so you have a hydrogen atom in the n equals nine shell.
00:06
So first you want to find the energy of the electron.
00:13
The energy is negative 13 .6 over and squared.
00:21
And you get a value of 0 .1 negative, negative 13 .6.
00:34
Excuse me so this is negative 0 .168 electron volts.
00:40
What is the smallest possible value for the orbital angular momentum quantum number? that would be zero because it starts at l equals zero and goes to l equals eight.
00:56
So l is from zero to eight.
01:06
What is the largest possible value again so that would be 8.
01:13
What is the length of the largest possible orbital momentum vector in the shell measured in the units of hbar? so to find the length you are doing the square root of l times l plus 1 and then it's in units of h bar.
01:48
Since you want the longest one you're plugging in 8 so 8 times 8 plus 1 is the square rate of 72, which is approximately 8 .485 in units of h bar...