In the hydrogen atom, if the reference level of potential energy is as...
Because on moving to higher energy levels the electron needs less energy to excite.that is why energy of shell decreases with increase in the value of n
In the hydrogen atom, if the reference level of potential energy is as...
Explanation:
Total energy of the shell (E) in a hydrogen atom is given by the formula:
E = -13.6 eV/n^2
Incorrect Statement:
b) The total energy of the shell decreases with an increase in the value of n.
Reason:
- As we can see from the formula, the total energy of the shell is inversely proportional to the square of the principal quantum number (n).
- This means that as the value of n increases, the total energy of the shell decreases.
- Therefore, the statement that the total energy of the shell decreases with an increase in the value of n is incorrect.
Correct Statements:
a) The total energy of the shell increases with an increase in the value of n:
- As n increases, the total energy of the shell becomes less negative, indicating an increase in energy.
c) The difference in total energy of any two shells remains the same:
- The energy difference between two shells is given by ΔE = 13.6 eV(1/n_f^2 - 1/n_i^2), which remains constant for any two shells.
d) The total energy at the ground state becomes 13.6 eV:
- At the ground state level (n=1), the total energy is -13.6 eV, which is the lowest energy level in the hydrogen atom.