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Question

The number of angular and radial nodes for $4d$ orbital is respectively

The correct answer is
2 and 1

Nodes Calculation for 4d Orbital

The number of nodes in an atomic orbital is determined by its quantum numbers. Specifically, we need the principal quantum number ($n$) and the azimuthal quantum number ($l$).

For a $4d$ orbital:

  • Principal quantum number, $n = 4$
  • Azimuthal quantum number, $l = 2$ (since $d$ orbitals correspond to $l=2$)

Angular Nodes Formula

The number of angular nodes depends only on the azimuthal quantum number ($l$).

  • Formula: Number of Angular Nodes = $l$
  • Calculation: For the $4d$ orbital, $l=2$. Therefore, the number of angular nodes is 2.

Radial Nodes Formula

The number of radial nodes depends on both the principal quantum number ($n$) and the azimuthal quantum number ($l$).

  • Formula: Number of Radial Nodes = $n - l - 1$
  • Calculation: For the $4d$ orbital, $n=4$ and $l=2$. Therefore, the number of radial nodes is $4 - 2 - 1 = 1$.

Conclusion

The number of angular nodes is 2, and the number of radial nodes is 1.

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Important Questions from Structure of Atom

  1. α particles are doubly charged ions of ________.

  2. Which non-metal among the following is poly-atomic?

  3. The elements belonging to the same group of periodic table have the same-

  4. The sum of the total number of protons and neutrons present in the nucleus of an atom is known as-

  5. A chemical equation is said to be balanced if number of ________.

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