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Chemistry · Structure of atom

हिन्दी

What is the energy associated with the first orbit in the hydrogen atom given by \( E_1 = -2.18 \times 10^{-18} \text{ J atom}^{-1} \)? What is the energy associated with the fifth orbit?

  1. \( -4.36 \times 10^{-19} \text{ J atom}^{-1} \)
  2. \( -8.72 \times 10^{-20} \text{ J atom}^{-1} \)
  3. \( -1.09 \times 10^{-19} \text{ J atom}^{-1} \)
  4. \( -2.18 \times 10^{-19} \text{ J atom}^{-1} \)

Correct answer · Option 2

\( -8.72 \times 10^{-20} \text{ J atom}^{-1} \)

Explanation

Using \( E_n = \frac{-2.18 \times 10^{-18}}{n^2} \), for \( n = 5 \), \( E_5 = \frac{-2.18 \times 10^{-18}}{25} = -8.72 \times 10^{-20} \text{ J atom}^{-1} \).
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