Q16 / 155 · WBJEE 2024 · Chemistry
Consider an electron moving in the first Bohr orbit of a $\mathrm{He}^{+}$ion with a velocity $\mathrm{v}_1$. If it is allowed to move in the third Bohr orbit with a velocity $v_3$, then indicate the correct $v_3: v_1$ ratio
- A$3: 1$
- B$2: 1$
- Correct answerC$1: 3$
- D$1: 2$
Solution
$v=v_0 \frac{z}{n}$
For 1st orbit of $\mathrm{He}^{+} \quad v_1=v_0 \frac{2}{1}$ For $3^{\text {rd }}$ orbit of $\mathrm{He}^{+} \quad v_3=v_0 \frac{2}{3}$
$v_3: v_1=1: 3$
Hence, the correct answer is option: 'C'.