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TS EAMCET · Chemistry · Structure of Atom

The approximate ratio of the speed of light in vacuum to that of an electron in the first Bohr orbit of hydrogen atom is

  1. A 100 : 1
  2. B 137 : 1
  3. C 157 : 1
  4. D 191 : 1
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Answer & Solution

Correct Answer

(B) 137 : 1

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Detailed explanation

From Bohr's atomic model \[ \mathrm{mvr}=\frac{\mathrm{nh}}{2 \pi} \] or, \(\quad \mathrm{v}=\frac{\mathrm{nh}}{2 \pi \mathrm{mr}}\) when \(\mathrm{n}=1, \mathrm{~h}=6.626 \times 10^{-31} \mathrm{~J}-\mathrm{s}, \mathrm{m}=9.11 \times 10^{-31} \mathrm{~kg}, \mathrm{r}=\)…