NEETChemistryStructure of Atom
For a particular electron in an atom, the quantum number that determines the size of its orbital has a value of 4 , and the quantum number that determines the shape of its orbital has a value of 1 . What are the number of radial nodes and the orbital angular momentum of this electron, respectively?
Options
- A3 and 2 h 2
- B2 and 6 h 2
- C2 and 2 h 2
- D4 and 0
Correct answer
C. 2 and 2 h 2
Step-by-step solution
The quantum number determining the size of an orbital is the principal quantum number ( n ). Therefore, n = 4 . The quantum number determining the shape of an orbital is the azimuthal quantum number ( l ). Therefore, l = 1 . The number of radial nodes is calculated using the formula n - l - 1 . Radial nodes = 4 - 1 - 1 = 2 . The orbital angular momentum is calculated using the formula l(l+1) h 2 . Orbital angular momentum = 1(1+1) h 2 = 2 h 2 . Answer: 2 and 2 h 2