Engineering
Chemistry
Bohrs Model for Hydrogen Atom

Question

The hydrogen‑like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light, the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Linked Question 1

Energy of the state S1 in units of the hydrogen atom ground state energy is

4.50

0.75

1.50

2.25

Solution

S1 = Energy of e of H in ground state × 

= 2.25 × energy of e of H in ground state

Linked Question 2

The state S1 is

1s

2s

2p

3s

Solution

  One radial node

   n - l – 1 = 1

Or  n-l=2

 l=0

n = 2

Orbital name = 2s

Linked Question 3

The orbital angular momentum quantum number of the state S2 is

3

0

2

1

Solution

For S2 = n – l – 1

n – l = 2

n = 3, l = 1

Orbital = 3p ∴ l = 1

[ S2 = energy of e of H in ground state ×  32n2,   n=3]