JEE Mains · Chemistry · STD 11 - 2. structure of atom
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:
- A A and C Only
- B A and E Only
- C B and E Only
- D C and D Only
Answer & Solution
Correct Answer
(B) A and E Only
Step-by-step Solution
Detailed explanation
According to Bohr's theory, the radius of the \(n\)-th orbit of a hydrogen-like species is given by \(r_n = 0.529 \times \dfrac{n^2}{Z} \text{ \AA}\). For \(H\) (first orbit), \(n = 1\), \(Z = 1 \Rightarrow r = 0.529 \times \dfrac{1^2}{1} = 0.529 \text{ \AA}\). For \(He^+\)…
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