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JEE Main 202528 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
28 January
Shift
Evening Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2025 · 28 January · Evening Shift · Physics · Atomic Physics

The frequency of revolution of the electron in Bohr's orbit varies...

The frequency of revolution of the electron in Bohr's orbit varies with nn, the principal quantum number as

Options

  1. A1n4\frac{1}{n^4}
  2. B1n2\frac{1}{n^2}
  3. C1n\frac{1}{\mathrm{n}}
  4. D1n3\frac{1}{n^3}

Correct answer

D. 1n3\frac{1}{n^3}

Step-by-step solution

f=v2πr=(V0n)(12πr0n2)f=V02πr0=(1n3)=f0(1n3)\begin{aligned} & f=\frac{v}{2 \pi r}=\left(\frac{V_0}{n}\right)\left(\frac{1}{2 \pi r_0 n^2}\right) \\ & f=\frac{V_0}{2 \pi r_0}=\left(\frac{1}{n^3}\right)=f_0\left(\frac{1}{n^3}\right)\end{aligned}
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