Quantum Numbers

Which of the following quantum numbers determines the energy of an electron in an atom?

• Spin quantum number
• Magnetic quantum number
• Principal quantum number
• Azimuthal quantum number

Which of the following quantum numbers determines the shape of an atomic orbital?

• Principal quantum number
• Magnetic quantum number
• Spin quantum number
• Azimuthal quantum number

Which of the following quantum numbers can distinguish between two electrons in the same orbital?

• Principal quantum number
• Azimuthal quantum number
• Magnetic quantum number
• Spin quantum number

Which of the following sets of quantum numbers is not possible for an electron?

• {n=3, l=2, m=-1, s=+1/2}
• {n=4, l=3, m=0, s=-1/2}
• {n=2, l=1, m=2, s=+1/2}
• {n=5, l=0, m=0, s=-1/2}

Answer explanation

magnetic quantum number depends upon the azimuthal quantum number, its values cannot exceed the value of the azimuthal quantum number.

here l=1 therefore m cannot be 2

Which of the following quantum numbers determines the orientation of an atomic orbital in space?

• Principal quantum number
• Magnetic quantum number
• Spin quantum number
• Azimuthal quantum number

Which of the following sets of quantum numbers is not possible for an electron?

• n = 3, l = 2, ml = 1, ms = +1/2

• n = 2, l = 2, ml = 0, ms = -1/2

• n = 1, l = 1, ml = 0, ms = +1/2

• n = 1, l = 1, ml = 1, ms = 1/2

Answer explanation

The value of azimuthal quantum number is l = n-1 indicates that the value of l is always lesser than principle quantum number n

How many electrons can have the following quantum numbers: n = 3, l = 2?

• 2
• 6
• 10
• 14

Answer explanation

Hint: l = 2, indicates d orbital which has maximum capacity of 10 electrons

The total number of electron present in any shell is represented by formula

• 2n^2
• n^2
• 2n
• n

The maximum numbers of electrons present in any orbital (s,p,d and f) is given by formula

• 2n^2
• 2l+1

• 2(2l+1)

• n^2

The number of suborbital present in any orbital is given by formula

• 2n
• 2l+1

• 2(2l+1)

• n^2