Problem 28.27 A hydrogen atom is in the 7d state. Need help with Part B-E Part A

ID: 1509332 • Letter: P

Question

Problem 28.27

A hydrogen atom is in the 7d state. Need help with Part B-E

Part A Determine the principal quantum number. Express your answer as an integer.

Answer: n = 7

Part B Determine the energy of the state. Express your answer using three significant figures. E = ____eV

Part C Determine the orbital angular momentum. Express your answer using three significant figures. L =_______

Part D Determine the quantum number l. Express your answer as an integer. l = ___________

Part E Determine the possible values for the magnetic quantum number. Enter your answers in ascending order separated by commas. m_1 = ______

Thanks for your help!

Hi,

In this case we have the following:

PART A

The principal quantum number is : n = 7

PART B

The energy of that state is: E = -13.606 eV/n2 = -13.606 eV /(49) = - 0.278 eV

PART D

The quantum number l is: l = n -1 ::::::: l = 6

PART C

The orbital angular momentum is: L = (l ( l+1 ) )1/2 = (6(6 + 1))1/2 = 6.481

PART E

The possible values for the magnetic quantum number are:

m goes from -l to l including zero, so:

m = -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6

I hope it helps.

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