Calculate the energy associated with an electron in the first orbit of hydrogen atom?

Step-by-step solution

The energy of an electron in the n^ th orbit of a hydrogen-like species is given by the Bohr model as: E_n = -2.18 10⁻¹⁸ Z^2 n^2 J For a hydrogen atom, the atomic number Z = 1 . For the first orbit, the principal quantum number n = 1 . Substituting these values into the formula, we get: E₁ = -2.18 10⁻¹⁸ 1^2 1^2 J E₁ = -2.18 10⁻¹⁸ J Answer: -2.18 10⁻¹⁸ J