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JEE Main 202126 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
26 August
Shift
Morning Shift
Subject
Chemistry
Chapter
Structure of Atom

JEE Main 2021 · 26 August · Morning Shift · Chemistry · Structure of Atom

Given below are two statements : Statement I : According to Bohr's...

Given below are two statements :
Statement I : According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the electron by the nucleus.
Statement II : According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in principle quantum number.

In the light of the above statements, choose the most appropriate answer from the options given below:

Options

  1. AStatement I is false but Statement II is true
  2. BStatement I is true but Statement II is false
  3. CBoth Statement I and Statement II are false
  4. DBoth Statement I and Statement II are true

Correct answer

A. Statement I is false but Statement II is true

Step-by-step solution

According to Bohr's model, velocity of electron is given by

Vn=(2.18×106)×Znm/sec{V}_{n} = \left(2 . 18 \times {10}^{6}\right) \times \dfrac{Z}{n}m / sec

As we see from the given formula velocity is inversely proportional to principle quantum number.

Vn∝1n;n↑,Vn↓{V}_{n} ∝ \dfrac{1}{n}; n ↑ , {V}_{n} ↓

the magnitude of velocity of electron is independent of positive charges on the nucleus.

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