00:01
Excuse me hello friends here it is given hydrogen atom for h atom g quantum number is 7 by 2 and 9 by 2 in first part we have to find what is the letter that levels value of l for the state in second part if n is called to 5 what is the energy difference? delta e between j is called to 7 by 2 and j is called to 9 by 2 levels.
01:49
Let us start solving it.
01:57
The energy level of hydrogen atom including fine structure is given by 13 .6 electron volt upon n square into 1 plus and alpha square upon n squared into n upon j plus half minus 3 by 4.
02:37
Where n is the principal quantum number, j is total angular momentum number.
02:43
Alpha is fine structure constant which is equal to here alpha is fine structure constant which is 1 upon 137 .04.
03:02
Now calculation for part a the total angular momentum j is the sum of orbital quantum number plus magnetic quantum number.
03:37
Magnetic quantum number is plus minus half.
03:50
So j is equal to you will get and plus minus half.
03:59
Thus for j is called to 7 by 2 and 9 by 2 or vital quantum number having the value, l is called to 7 by 2 plus 1 by 2 that is 4.
04:40
The letter which levels l is called to 4 state is g.
05:14
Now b part from energy equation...