Bohr's radius of 2 nd orbit of Be ³⁺ is equal to that of

Step-by-step solution

The radius of the n -th orbit of a hydrogen-like species is given by the formula r_n = a₀ n^2 Z , where a₀ is the Bohr radius, n is the principal quantum number, and Z is the atomic number. For the 2nd orbit of Be ³⁺ , we have n = 2 and Z = 4 . r = a₀ 2^2 4 = a₀ 4 4 = a₀ . Now, we evaluate the options: For the 1st orbit of hydrogen, n = 1 and Z = 1 : r = a₀ 1^2 1 = a₀ . For the 4th orbit of hydrogen, n = 4 and Z = 1 : r = a₀ 4^2 1 = 16a₀ . For the 3rd orbit of Li ²⁺ , n = 3 and Z = 3 : r = a₀ 3^2 3 = 3a₀ . For the