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The radii of two Bohr's orbits of hydrogen atom are in the ratio of 4 : 9. Which of the following value of energy difference is not possible between the two orbits? [I.E. = 13.6 eV]

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1.9 eV

0.472 eV

0.66 eV

0.21 eV

answer is C.

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Detailed Solution

The ratios of the radius is given as;

$\frac{r_{1}}{r_{2}} = \frac{n_{1}^{2}}{n_{2}^{2}} = \frac{4}{9}$

So,

$\Rightarrow \frac{n_{1}}{n_{2}} = \frac{2}{3} \Rightarrow \frac{n_{1}}{n_{2}} = 0.66$

Thus, the energy difference of 0.66 ev is not possible between the two orbits

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