Question

Which of the following is a valid set of four quantum numbers?(n,l,ml,ms)
a)2,1,+2,+1/2
b)2,1,0,+1/2
c)1,1,0,-1/2
d)2,2,1,-1/2

Answer 1

Answer:

2, 1, 0, +1/2 is the valid set of quantum numbers.

Explanation:

Concept,

Principle quantum number (n):

Designate the principal electron shell of the atom.

n can be 1, 2, 3,...

Azimuthal quantum number (l):

The azimuthal (or orbital angular momentum) quantum number describes the shape of a given orbital.

'l' can be 0, 1, 2, 3...(n - 1)

Magnetic quantum number (ml):

The total number of orbitals in a subshell and the orientation of these orbitals are determined by the magnetic quantum number.

ml can take values from '-l' to '+l'.

Spin quantum number (ms):

This number gives insight into the direction in which the electron is spinning.

ms can be -1/2 or 1/2.

Calculation,

a) Here n = 2, l = 1, ml = +2, ms = +1/2

But the quantum number ml is having more value compared to the quantum number 'l', so this set of quantum numbers is not possible.

b) Here n = 2, l = 1, ml = 0, ms = +1/2

This set of quantum numbers is a valid set of quantum numbers as it follows all the above properties.

c) Here n = 1, l = 1, ml = 0, ms = +1/2

This set of quantum numbers is not a valid set of quantum numbers as it is not following l(max) = (n - 1)

d) Here n = 2, l = 2, ml = 1, ms = -1/2

This set of quantum numbers is not a valid set of quantum numbers as it is not following l(max) = (n - 1).

Therefore, 2, 1, 0, +1/2 is the valid set of quantum numbers.

#SPJ3

Answer 2

Answer:

Correct Answer:

b)2,1,0,+1/2 is the valid set for quantum number .

Explanation:

Concept:

Principle quantum number (n):

Name the atom's outermost electron shell.n could be 1, 2, 3, etc.

Azimuthal Quantum number (I):

The form of an orbital is described by its azimuthal quantum number, also known as orbital angular momentum.

It may be 0 or 1, 2, or 3. (n - 1)

Magnetic quantum number( ml)

The magnetic quantum number determines the total number of orbitals in a subshell as well as their orientation.

Ml accepts values between "-l" and "+1."

Spin quantum number(ms)

The electron's spin direction can be determined by looking at this number.

ms may be either -1/2 or 1/2.

Calculation:

a) In this case, n=2, I=1, mI=2, and ms=1/2.

This collection of quantum numbers is impossible because the quantum number ml is more valuable than the quantum number "I."

b) In this case, n = 2, I = 1, ml = 0, and ms = 1/2.

Due to its adherence to the aforementioned characteristics, this set of quantum numbers is a genuine set of quantum numbers.

Here, ml = 0, ms = 1/2, and n = 1 with |= 1. This quantum number collection is not a valid collection of quantum numbers because it is subsequently I(max) = (n - 1)

d) In this case, n = 2, I = 2, mI = 1, and ms = -1/2.

The quantum numbers in this collection are invalid because they are not follow l(max)=(n-1)

Hence , b)2,1,0,+1/2 is the valid set for quantum number .

#SPJ3