The species having identical radii according to the Bohr's theory are :A. H (first orbit)B. ${He}^{+

Question

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. ${Li}^{2 +}$ (first orbit)

E. ${Be}^{3 +}$ (Second orbit)

Choose the correct answer from the options given below :

Accepted Answer

Sol. [Key Concept: Bohr radius $r \propto \ n^{2}/Z$; it is identical when $n^{2}/Z$ matches — here H (1st orbit) and Be$3 +$ (2nd orbit) both give $r \propto 1$.]A) → sameB) → sameC) → sameD) $ightarrow r = \frac{90 	imes (1)^{2}}{3} = \frac{90}{3}$E) → same

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