MCQ
In Bohr's atomic model, radius and energy in orbit $(n)$ is related as
  • A
    $\begin{array}{l}
    E\,\propto  - \frac{1}{{{n^2}}}\\
    r\,\propto {n^2}
    \end{array}$
  • B
    $\begin{array}{l}
    r\,\propto \frac{1}{{{n^2}}}\\
    E\,\propto {n^2}
    \end{array}$
  • C
    $\begin{array}{l}
    r\,\propto \frac{1}{n}\\
    E\,\propto n
    \end{array}$
  • $\begin{array}{l}
    r\,\propto  {n^2}\\
    E\,\propto \frac{1}{{{n^2}}}
    \end{array}$

Answer

Correct option: D.
$\begin{array}{l}
r\,\propto  {n^2}\\
E\,\propto \frac{1}{{{n^2}}}
\end{array}$
d
In Bohr's model:-

Radius $=0.53 \frac{ n ^2}{ Z } \Rightarrow r \propto n ^2$

Energy $=-1312 Z^2 / n ^2\,kJ / mol \Rightarrow E \propto \frac{1}{ n ^2}$

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