Question

If an electron jumps from a certain quantum level in he+ ion to the ground state and gives energy corresponding to 99% of the ionisation potential of he+ ion, then the value of the quantum level is

Answer 1

Hey Dear,

◆ Answer -

n = 10

● Explaination -

Energy of electron in nth orbit of He is given by -

En = -13.6 Z²/n²

En = -13.6 × 2²/n²

Energy of electron in ground state of He is given by -

E0 = -13.6 Z²

E0 = -13.6 × 2²

Given that -

(E0-En)/E0 = 99/100

(-13.6×2² + 13.6×2²/n²) / -13.6×2² = 99/100

1 - 1/n² = 99/100

n = 10

Hence, value of quantum level is 10.

Thanks dear...