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JEE Main 201226 MayOnline

Exam: JEE Main
Year: 2012
Date: 26 May
Mode: Online
Subject: Physics
Chapter: Atomic Physics

JEE Main 2012 · 26 May · Online · Physics · Atomic Physics

Which of the plots shown in the figure represents speed (v) of the...

Which of the plots shown in the figure represents speed

(v)

of the electron in a hydrogen atom as a function of the principal quantum number

(n)

?

Which of the plots shown in the figure represents speed (v) of the electron in a hydrogen atom as a function of the

Options

A $B$
B $D$
C $C$
D $A$

Correct answer

A. $B$

Step-by-step solution

Velocity of electron in

n^{\text{th }}

orbit of hydrogen atom is given by : V_n=

\frac{2 \pi K Z e^2}{n h}

Substituting the values we get, V_n=

\frac{2.2 \times 10^6}{n} \mathrm{~m}

/

\mathrm{s} \quad \text{ or } \quad

V_n \propto

\frac{1}{n}

As principal quantum number increases, velocity decreases.

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