Question

For hydrogen-like species, which of the following graphs provides the most appropriate representation of \( E \) vs \( Z \) plot for a constant \( n \)?

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

The energy of a hydrogen-like atom is proportional to \( Z^2 \), so the plot of \( E \) versus \( Z \) should show a parabolic increase.

Answer 1

The Correct Option is B

For hydrogen-like species, the energy of the stationary state is proportional to \( Z^2 \), where \( Z \) is the atomic number. Hence, the correct plot for \( E \) vs \( Z \) is a quadratic curve, showing \( E \propto Z^2 \).