Which of the following statement is not correct? a)The shape of an ato...
The energy level of an orbital in multi-electron system depends upon n & l.
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Which of the following statement is not correct? a)The shape of an ato...
The correct answer is option 'C': The energy of an electron in an atomic orbital of a multi-electron atom depends on the principle quantum number only.
Explanation:
The energy of an electron in an atomic orbital of a multi-electron atom depends on several factors, including the principle quantum number (n), the azimuthal quantum number (l), and the magnetic quantum number (ml). Therefore, statement c is not correct.
1. Principle Quantum Number (n):
The principle quantum number determines the energy level or shell in which an electron resides. It is represented by the symbol 'n' and can have integer values of 1, 2, 3, and so on. The energy increases with increasing value of 'n'. Electrons with higher values of 'n' are found in higher energy levels or shells farther away from the nucleus.
2. Azimuthal Quantum Number (l):
The azimuthal quantum number determines the shape or subshell of an atomic orbital. It is represented by the symbol 'l' and can have values ranging from 0 to (n-1). The value of 'l' determines the shape of the orbital:
- When l = 0, the orbital is an s orbital (spherical shape).
- When l = 1, the orbital is a p orbital (dumbbell shape).
- When l = 2, the orbital is a d orbital (cloverleaf shape).
- When l = 3, the orbital is an f orbital (complex shape).
3. Magnetic Quantum Number (ml):
The magnetic quantum number determines the orientation of an atomic orbital within a subshell. It is represented by the symbol 'ml' and can have values ranging from -l to +l. The value of 'ml' determines the number of orbitals within a subshell and their specific orientations.
Importance of Azimuthal and Magnetic Quantum Numbers:
The combination of azimuthal and magnetic quantum numbers determines the number and orientation of degenerate atomic orbitals of a particular type. For example, when l = 1 (p orbital), ml can have three values (-1, 0, 1), indicating three different orientations of the p orbital along the x, y, and z axes.
Conclusion:
In conclusion, the energy of an electron in an atomic orbital of a multi-electron atom depends not only on the principle quantum number (n) but also on the azimuthal quantum number (l) and the magnetic quantum number (ml). Therefore, the statement c is not correct.