The species having identical radii according to the Bohr's theory are: A. H (first orbit) B. He^+ (first orbit) C. He^+ (Second orbit) D. Li²⁺ (first orbit) E. Be³⁺ (Second orbit) Choose the correct answer from the options given below:

Step-by-step solution

According to Bohr's theory, the radius of the n -th orbit of a hydrogen-like species is given by r_n = 0.529 n^2 Z . For H (first orbit), n = 1 , Z = 1 r = 0.529 1^2 1 = 0.529 . For He^+ (first orbit), n = 1 , Z = 2 r = 0.529 1^2 2 = 0.2645 . For He^+ (second orbit), n = 2 , Z = 2 r = 0.529 2^2 2 = 1.058 . For Li²⁺ (first orbit), n = 1 , Z = 3 r = 0.529 1^2 3 = 0.176 . For Be³⁺ (second orbit), n = 2 , Z = 4 r = 0.529 2^2 4 = 0.529 . The radii of H (first orbit) and Be³⁺ (second orbit) are identical. Therefore, spec