If in Bohr's model, for unielectronic atom, time period of revolution is represented as…

If in Bohr's model, for unielectronic atom, time period of revolution is represented as $\mathrm{T}_{\mathrm{n}, \mathrm{z}}$ where n represents shell no. and $Z$ represents atomic number then the value of $\mathrm{T}_{1,2}: \mathrm{T}_{2,1}$ will be :
  1. $8: 1$
  2. $1: 8$
  3. $1: 1$
  4. $1: 32$

Solution

$\mathrm{T} \propto \frac{\mathrm{n}^{3}}{\mathrm{Z}^{2}} ; \quad \frac{\mathrm{T}_{1,2}}{\mathrm{~T}_{2.1}}=\frac{1}{4} \times \frac{1}{8}=\frac{1}{32}$

Asked in: JEE-TOPICTESTS-CHEMISTRY

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