. Which of the following variables identifies the sublevel that has three orbitals?1 pointdnfsp

The variable that identifies the sublevel that has three orbitals is 'p'.

Here's why:

In atomic physics, the principal quantum number (n) determines the energy level and size of the orbital. It can be any positive integer.

The azimuthal quantum number (l), also known as the angular momentum quantum number or orbital shape quantum number, determines the shape of the orbital. It can be any integer from 0 to n-1. For a given n, l = 0 corresponds to the s sublevel, l = 1 corresponds to the p sublevel, l = 2 corresponds to the d sublevel, and l = 3 corresponds to the f sublevel.

The magnetic quantum number (m_l) determines the number of orbitals and their orientation within a sublevel. It can be any integer from -l to +l.

So, for the 's' sublevel (l = 0), there is 1 orbital (m_l = 0). For the 'p' sublevel (l = 1), there are 3 orbitals (m_l = -1, 0, +1). For the 'd' sublevel (l = 2), there are 5 orbitals (m_l = -2, -1, 0, +1, +2). And for the 'f' sublevel (l = 3), there are 7 orbitals (m_l = -3, -2, -1, 0, +1, +2, +3).

Therefore, the 'p' sublevel has three orbitals.