The species having identical radii according to the Bohr’s theory are:

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Solution

Q.
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: [2026]

1 A and C only

2 A and E only

3 B and E only

4 C and D only

Ans.
(2)

Radius of $n^{t h}$ orbit of a single electron specie with atomic number $Z = 0.529 \frac{n^{2}}{Z} Å$

S.No. Specie Radius (in $Å$ )

A $H (n = 1) (Z = 1)$ $0.529 \frac{1^{2}}{1} = 0.529$

B $H e^{+} (n = 1) (Z = 2)$ $0.529 \frac{1^{2}}{2} = 0.2645$

C $H e^{+} (n = 2) (Z = 2)$ $0.529 \frac{2^{2}}{2} = 1.058$

D $L i^{2 +} (n = 1) (Z = 3)$ $0.529 \frac{1^{2}}{3} = 0.1763$

E $B e^{3 +} (n = 2) (Z = 4)$ $0.529 \frac{2^{2}}{4} = 0.2645$

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