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Atoms and Nuclei question

2022 · Q158
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Atoms and Nuclei question

2022 · Q158

NEETPhysicsAtoms and NucleiMCQ+4 / −1

Let T1 and T2 be the energy of an electron in the first and second excited states of hydrogen atoms, respectively. According to the Bohr's model of an atom, the ratio T1 : T2 is

  1. A
    1 : 4
  2. B
    4 : 1
  3. C
    4 : 9
  4. D
    9 : 4
View written solutionFree

Correct answer: D

$${E_n} = {{{E_0}} \over {{n^2}}}$$, For first excited state $\Rightarrow$ n = 2

For second excited state $\Rightarrow$ n = 3

$$ \Rightarrow {{{T_1}} \over {{T_2}}} = {{{{{E_0}} \over 4}} \over {{{{E_0}} \over 9}}} = {9 \over 4}$$

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