Answer: a) n= 3, l = 2, ,
d) n= 5, l= 4, ,
e) n= 3, l= 3, ,
Explanation:
Principle Quantum Numbers : It describes the size of the orbital and the energy level. It is represented by n. Where, n = 1,2,3,4....
Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...
Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as . The value of this quantum number ranges from . When l = 2, the value of will be -2, -1, 0, +1, +2.
Spin Quantum number : It describes the direction of electron spin. This is represented as The value of this is for upward spin and for downward spin.
a) n= 3, l = 2, ,
n=3 and l can have value 0 to (n-1) i.e. 0, 1 and 2.
can have values from -l to +l i.e for l= 2 , can have values -2, -1, 0 , +1 and +2. Thus is allowed.
b) n= 4, l= 0, ,
n= 4 and l can have value 0 to (n-1) i.e. 0, 1 , 2 and 3.
can have values from -l to +l. For l= 0 , can have value of 0 only. Thus is not allowed.
c) n= 3 , l= -2, ,
n= 3 and l can have value 0 to (n-1) i.e. 0, 1 and 2. Thus is not allowed.
d) n= 5, l= 4, ,
n= 5 and l can have value 0 to (n-1) i.e. 0, 1 , 2 ,3 and 4
can have values from -l to +l. For l= 4 , can have value of -4, -3, -2 , -1, 0 , +1, +2, +3 and +4. Thus is allowed.
e) n= 3, l= 3, ,
n= 3 and l can have value 0 to (n-1) i.e. 0, 1 and 2.
can have values from -l to +l. For l= 3 , can have value of -3, -2 , -1, 0 , +1, +2, and +3. Thus is allowed.