If the binding energy of ground state electron in hydrogen atom is 13.6 eV, the energy required to remove the electron from the second excited state of Li²⁺ is x × 10⁻¹ eV. The value of x is ______.
Physics · Circular Motion
JEE Mains 31 January 2023 Shift 2 Evening Shift

Question

If the binding energy of ground state electron in hydrogen atom is 13.6 eV, the energy required to remove the electron from the second excited state of Li²⁺ is x × 10⁻¹ eV. The value of x is ______.

Physics · Circular Motion

JEE Mains 31 January 2023 Shift 2 Evening Shift

G1 Physics · Accepted Answer

Second excited state means n=3. For hydrogen-like Li²⁺, ionization energy from nth state is 13.6Z²/n² = 13.6×9/9 = 13.6 eV = 136×10⁻¹ eV. Hence x=136.