Q2 / 160 · TS EAMCET 2020 (11 Sep Shift 1) · Chemistry
The correct order of decreasing energy for the electrons whose quantum numbers $n$ and $l$ are given below, is
A. $n=5$ and $l=2$
B. $n=5$ and $l=0$
C. $n=4$ and $l=3$
D. $n=4$ and $l=1$
- Correct answerA$A>C>B>D$
- BA $>$ B $>$ C $>$ D
- CC $>$ A $>$ D $>$ B
- DA $>$ B $>$ D $>$ C
Solution
Given, $n=$ principal quantum number The principal quantum number is one of four quantum numbers assigned to each electron in an atom to describe that electron state.
As $n$ increases, the electron is also at a higher energy and is, therefore less tightly bound to the nucleus.
$l=$ azimuthal quantum number
The azimuthal quantum number is a quantum number for an atomic orbital that determines, it orbital angular momentum and describes the shape of the orbital.
Azimutal quantum number $(l)=0,1,2,3,4$
Shape of orbitals $=s, p, d, f, g$
Energy of orbitals
$s < p < d < f < g$
So, higher the value of $n$ and $l$ higher the energy of electron.
Decreasing order of energy for the electrons,
$n=5$ and $l=2>n=4$ and $l=3>n=5$ and
$l=0>n=4$ and $l=1$
i.e. $\quad A>C>B>D$
Hence, the correct answer is option: 'A'.