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JEE Main 202225 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2022 · 25 July · Morning Shift · Physics · Atomic Physics

The momentum of an electron revolving in n ^ th orbit is given by :...

The momentum of an electron revolving in nth{n}^{th} orbit is given by : (Symbols have their usual meanings)

Options

  1. Anh2\pir\dfrac{nh}{2\pir}
  2. Bnh2r\dfrac{nh}{2r}
  3. Cnh2π\dfrac{nh}{2\pi}
  4. D2\pirnh\dfrac{2\pir}{nh}

Correct answer

A. nh2\pir\dfrac{nh}{2\pir}

Step-by-step solution

According to Bohr's postulates, angular momentum of an electron in an orbit is given by,

L=mvr=nh2πL = mvr = \dfrac{nh}{2\pi}

Therefore, linear momentum p=Lr=nh2\pirp = \dfrac{L}{r} = \dfrac{nh}{2\pir}

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