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AIIMS 2016
Exam
AIIMS
Year
2016
Subject
Chemistry
Chapter
Structure of Atom

AIIMS 2016 · Chemistry · Structure of Atom

According to Bohr's theory, which of the following correctly...

According to Bohr's theory, which of the following correctly represents the variation of energy and radius of an electron in nth n^{\text{th }} orbit of H\mathrm{H}-atom?

Options

  1. AEn∝1n2,r∝1n2E_n \propto \frac{1}{n^2}, r \propto \frac{1}{n^2}
  2. BEn∝1n2,r∝n2E_n \propto \frac{1}{n^2}, r \propto n^2
  3. CEn∝n2,r∝n2E_n \propto n^2, r \propto n^2
  4. DEn∝n,r∝1nE_n \propto n, r \propto \frac{1}{n}

Correct answer

B. En∝1n2,r∝n2E_n \propto \frac{1}{n^2}, r \propto n^2

Step-by-step solution

According to Bohr's theory, r=n2h24π2mZe2kr=\frac{n^2 h^2}{4 \pi^2 m Z e^2 k} and En=−k22π2mZ2e4n2h2E_n=\frac{-k^2 2 \pi^2 m Z^2 e^4}{n^2 h^2}
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