Question

Based on equation, $E=-2.178\times {{10}^{-18}}J\dfrac{{{Z}^{2}}}{{{n}^{2}}}$ certain conclusions have been provided. Check them and identify the incorrect one?
A. Larger the value of $n$, larger will be the radius of the orbit.
B. This equation can be helpful in calculating the change in energy when the electron varies its orbit.
C. In the case of $n=1$, electros carries more negative energy than it carried for $n=6$. This means that the electron is more loosely bound in the smallest allowed orbit.
D. That the energy of electrons which are attracted to the nucleus will be smaller than it would be if the electrons were at an infinite distance from the nucleus. This is the meaning of negative sign in the equation.

Answer 1

Hint: The lowest possible energy state is the one in which the electrons are most tightly bound, and it’s called the ground state. In the ground state force of attraction will be higher which means elections in ground state are tightly bounded. This will help you in solving this question.

Complete step by step answer:
The nucleus of an atom has been occupied by the electrons that occupy shells, or orbitals having a changing energy levels. In short it is the lowest possible energy state is the one where the electrons are tightly bound. This is known as ground state. Therefore in this state, the force of attraction will be higher. This has been mentioned as the option C.

So, the correct answer is “Option C”.

Note: The ground state of an electron is the state of lowest energy for that electron and it is the energy level the electron normally occupies. There will be a maximum value of energy also that every electron can possess and still be part of its atom. An excited state of an atom is another term we have to discuss when we learn the ground state. It is defined as any quantum state of an atom which is having a higher energy level than that of the ground state. Excitation means that an enhancement in the energy level happening above a specific reference energy state. This basic energy state is the ground state of the atom. When an atom acquires energy, the electrons will move into an excited state and after that when they come back, they will release this energy by emitting radiations.