NEET2025ChemistryStructure of AtomActual
Energy and radius of first Bohr orbit of He ⁺ and Li ²⁺ are [Given R _ H =2.18 10⁻¹⁸ ~J , a ₀=52.9 pm ]
Options
- Aaligned & E _ n ( Li ²⁺ )=-19.62 10⁻¹⁸ ~J ; & r _ n ( Li ²⁺ )=17.6 pm & E _ n ( He ⁺ )=-8.72 10⁻¹⁸ ~J ; & r _
- Baligned & E _ n ( Li ²⁺ )=-8.72 10⁻¹⁸ ~J & r _ n ( Li ²⁺ )=26.4 pm & E _ n ( He ⁺ )=-19.62 10⁻¹⁸ ~J ; & r _ n
- Caligned & E _ n ( Li ²⁺ )=-19.62 10⁻¹⁶ ~J & r _ n ( Li ²⁺ )=17.6 pm & E _ n ( He ⁺ )=-8.72 10⁻¹⁶ ~J & r _ n (
- Daligned & E _ n ( Li ²⁺ )=-8.72 10⁻¹⁶ ~J & r _ n ( Li ²⁺ )=17.6 pm & E _ n ( He ⁺ )=-19.62 10⁻¹⁶ ~J ; & r _ n
Correct answer
A. aligned & E _ n ( Li ²⁺ )=-19.62 10⁻¹⁸ ~J ; & r _ n ( Li ²⁺ )=17.6 pm & E _ n ( He ⁺ )=-8.72 10⁻¹⁸ ~J ; & r _
Step-by-step solution
aligned & E_n=-2.18 10⁻¹⁸ Z^2 n^2 J & For He ⁺ E ₁=-2.18 10⁻¹⁸ 2^2 1^2 ~J & =-8.72 10⁻¹⁸ ~J & For Li ²⁺ E ₁=-2.18 10⁻¹⁸ 3^2 1^2 ~J & =-19.62 10⁻¹⁸ ~J & r _ n =52.9 n ^2 Z pm & For He ⁺ r ₁=52.9 1^2 2 pm =26.4 pm & For Li ²⁺ r ₁=52.9 1^2 3 pm =17.6 pm aligned