Question

Which of the following is correct for number of electrons, number of orbitals and type of orbitals respectively in N-orbit?
a.) 4, 4 and 8
b.) 4, 8 and16
c.) 32, 16 and 4
d.) 4, 16 and 32

Answer 1

We know that different energy levels and different orbitals help us to describe the position of atoms in the electronic structure. It tells us how the electrons are arranged within atoms and the energies which are derived from the quantum theory. On the basis of this information, we have to answer this question, and find out the number of electrons, number of orbitals and type of orbitals as asked.

Complete step by step solution:
The postulates of quantum theory tell us that the atom can only exist in a certain state of energy. Due to energy difference between the states, the atom of an electron by correlation changes state and it also observes and emits a certain amount of energy.
Quantum numbers can only take integral values if we start from beginning n = 1,2,3,4. Every single energy level determines a letter: n=1(K), 2(L), 3(M), 4(N) and so on.
In order to calculate the maximum number of electrons in each energy level, we can use the formula $2{{n}^{2}}$ where n is the principal energy level.
From the above observation of energy levels s, p, d, f in which electrons are arranged from lower to higher order.

For example, let us consider
$2\text{ }\times \text{ }{{\text{1}}^{2}}\text{ = 2}$
$2\text{ }\times \text{ }{{\text{2}}^{2}}\text{ = 8}$
$2\text{ }\times \text{ }{{\text{3}}^{2}}\text{ = 18}$
According to the example we can find the solution to be 2,8,18.

Similarly, for the N-orbit the answer will be Option D.

Note: Those energy levels show how the electrons are distributed among the shells and as we go on increasing the levels or the orbits the complexity of the arrangement increases. The principal energy level definition tells us the different size of the orbital and also determines the energy.