The radius of 2 nd orbit of He⁺ of Bohr's model is r₁ and that of fourth orbit of Be³⁺ is represented as r₂. Now the ratio (r₂)/(r₁) is x: 1. The value of x is ___________. Numerical answer type. Work it out, then open the answer.

Answer: 2. r ∝ n²/Z He⁺, n=2: r₁ ∝ 4/2 = 2; Be³⁺, n=4: r₂ ∝ 16/4 = 4 (r₂)/(r₁) = 4/2 = 2 So x = 2.

The radius of 2 nd orbit of He⁺ of Bohr's model is r₁ and that of… | JEE Main 2023 (13 Apr, Shift 1)

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Bohr Model: Orbits, Speed & Angular Momentum

The radius of $2$ nd orbit of $\text{He}^{+}$ of Bohr's model is $r_1$ and that of fourth orbit of $\text{Be}^{3+}$ is represented as $r_2$ . Now the ratio $\frac{r_2}{r_1}$ is $x : 1$ . The value of $x$ is ___________.

Numerical answer type. Work it out, then open the answer.

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Answer: 2

$r \propto \frac{n^2}{Z}$
$\text{He}^+$ , $n=2$ : $r_1 \propto \frac{4}{2} = 2$ ; $\text{Be}^{3+}$ , $n=4$ : $r_2 \propto \frac{16}{4} = 4$
$\frac{r_2}{r_1} = \frac{4}{2} = 2$
So $x = 2$ .

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