Two sets of quantum numbers with the same number of radial nodes are (...
Answer:
Introduction:
Quantum numbers are used to define the state of an electron in an atom. There are four quantum numbers - principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (ml), and spin quantum number (ms). The values of these quantum numbers determine the energy, position, and orientation of the electron in the atom.
Explanation:
The two sets of quantum numbers with the same number of radial nodes are:
A. n = 3; l = 0; ml = 0 and n = 2; l = 0; ml = 0
- The principal quantum number (n) for the first set is 3, and for the second set is 2.
- The azimuthal quantum number (l) for both sets is 0, indicating that the electrons are in the s subshell.
- The magnetic quantum number (ml) for both sets is 0, indicating that the electrons are in the s orbital.
- Both sets of quantum numbers have one radial node, which is the number of points where the electron density is zero.
B. n = 3; l = 1; ml = 1 and n = 2; l = 1; ml = 0
- The principal quantum number (n) for the first set is 3, and for the second set is 2.
- The azimuthal quantum number (l) for the first set is 1, indicating that the electrons are in the p subshell, and for the second set is also 1, indicating that the electrons are also in the p subshell.
- The magnetic quantum number (ml) for the first set is 1, indicating that the electrons are in the px orbital, and for the second set is 0, indicating that the electrons are in the py orbital.
- Both sets of quantum numbers have two radial nodes, which is the number of points where the electron density is zero.
C. n = 3; l = 2; ml = 0 and n = 2; l = 1; ml = 0
- The principal quantum number (n) for the first set is 3, and for the second set is 2.
- The azimuthal quantum number (l) for the first set is 2, indicating that the electrons are in the d subshell, and for the second set is 1, indicating that the electrons are in the p subshell.
- The magnetic quantum number (ml) for the first set is 0, indicating that the electrons are in the dxy orbital, and for the second set is 0, indicating that the electrons are in the py orbital.
- Both sets of quantum numbers have two radial nodes, which is the number of points where the electron density is zero.
D. n = 3; l = 1; ml = −1 and n = 2; l = 1; ml = 0
- The principal quantum number (n) for the first set is 3, and for the second set is 2.
- The azimuthal quantum number (l) for both sets is 1, indicating that the electrons are in the p subshell.
- The magnetic quantum number (ml) for the first set is -1, indicating that the electrons are in the pz orbital, and for the second
Two sets of quantum numbers with the same number of radial nodes are (...
Option c