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JEE Main 202117 MarchMorning Shift

Exam: JEE Main
Year: 2021
Date: 17 March
Shift: Morning Shift
Subject: Physics
Chapter: Atomic Physics

JEE Main 2021 · 17 March · Morning Shift · Physics · Atomic Physics

If an electron is moving in the n ^ th orbit of the hydrogen atom,...

If an electron is moving in the

{n}^{\text{th}}

orbit of the hydrogen atom, then its velocity

( {v}_{n} )

for the

{n}^{\text{th}}

orbit is given as:

Options

A ${v}_{n} ∝ n$
B ${v}_{n} ∝ \dfrac{1}{n}$
C ${v}_{n} ∝ {n}^{2}$
D ${v}_{n} ∝ \dfrac{1}{{n}^{2}}$

Correct answer

B. ${v}_{n} ∝ \dfrac{1}{n}$

Step-by-step solution

We know velocity of electron in ${n}^{\text{th}}$ shell of hydrogen atom is given by

$v = \dfrac{2\pikZ{e}^{2}}{nh}$

$∴ v ∝ \dfrac{1}{n}$

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