Answer :

25 is the total number of orbitals which can be present in the fifth energy level of an atom .

What are orbitals ?

In orbital, chemistry and physics, a mathematical term called a wavefunction that describes the properties of two or fewer electrons near a nucleus or nuclear system, such as a molecule. An orbital is often represented as the 3-dimensional region where an electron has a 95% chance of being found.

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Atomic orbitals are usually denoted by a combination of numbers and letters (eg, 1s, 2p, 3d, 4f) that represent certain properties of the electron associated with the orbital. The numbers, the so-called principal quantum numbers, indicate the energy levels and their relative distances from the nucleus.

l=0 to l=(n−1) . For each of the orbital states we have a different number of total orbitals which is increasing as the azimuthal number increases. Hence, the total number of orbitals in the fifth energy level is 25.

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