WBJEE · Physics · Atomic Physics
Let \(\mathrm{r}, \mathrm{v}, \mathrm{E}\) be the radius of orbit, speed of electron and total energy of electron respectively in a \(\mathrm{H}\)-atom. Which of the following quantities according to Bohr theory, is proportional to the quantum number \(\mathrm{n}\) ?
- A vr
- B \(\mathrm{rE}\)
- C \(\frac{r}{E}\)
- D \(\frac{r}{v}\)
Answer & Solution
Correct Answer
(A) vr
Step-by-step Solution
Detailed explanation
\(\mathrm{mvr}=\frac{\mathrm{nh}}{2 \pi} \quad \therefore \mathrm{n}=\frac{\mathrm{m} 2 \pi}{\mathrm{h}} \cdot \mathrm{vr} \quad \therefore \mathrm{n} \propto \mathrm{vr}\)
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