AP EAMCET202420 May 2024Morning ShiftChemistryStructure of AtomActual
The angular momentum of an electron in a stationary state of Li ²⁺( Z =3) is 3 h . The radius and energy of that stationary state are respectively
Options
- A3.174 Å,-5.45 10⁻¹⁹ ~J
- B6.348 Å,-5.45 10⁻¹⁹ ~J
- C6.348 Å,+5.45 10⁻¹⁸ ~J
- D2.116 Å,-5.45 10⁻¹⁹ ~J
Correct answer
B. 6.348 Å,-5.45 10⁻¹⁹ ~J
Step-by-step solution
Angular momentum = 3 ~h ~m _ e vr = nh 2 3 ~h = n h 2 n =6 For the Radius ( r _ n )= a ₀ n ^2 2 =52.9 pm (6)^2 3 =634.8 10⁻¹² ~m . r _ n =6.348 Å Energy of stationary state (E_n )=-R_H ( 1 n^2 ) For Li ⁺²=(n=2)E₂=-2.18 10⁻¹⁸ ~J 1 2^2 =-0.545 10⁻¹⁸ ~J =-5.45 10⁻¹⁹ ~J