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Physics · PYQ NEET UG 2022

हिन्दी

Let \( T_1 \) and \( T_2 \) be the energy of an electron in the first and second excited states of hydrogen atom, respectively. According to the Bohr’s model of an atom, the ratio \( T_1 : T_2 \) is:

  1. \( 4 : 9 \)
  2. \( 9 : 4 \)
  3. \( 1 : 4 \)
  4. \( 4 : 1 \)

Correct answer · Option 2

\( 9 : 4 \)

Explanation

Energy of an electron in state \( n \) is \( E_n \propto \frac{1}{n^2} \). First excited state is \( n=2 \), second excited state is \( n=3 \). Thus \( \frac{T_1}{T_2} = \frac{3^2}{2^2} = \frac{9}{4} \).
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