Import Question JSON

Current Question (ID: 7544)

Question:

$\text{The quantum number of the most energetic electron in an Ne atom in the first excited state is}$

Options:

1. $2, 1, 0, +\frac{1}{2}$
2. $3, 1, 1, +\frac{1}{2}$
3. $3, 0, 0, +\frac{1}{2}$
4. $3, 1, 0, +\frac{1}{2}$

Solution:

$\text{Hint: Use the concept of quantum number form}$ $\text{The electronic configuration of the Ne atom is } 1s^2 2s^2 2p^6$ $\text{First excitation = last electron moved to next available subshell}$ $\text{The configuration of Ne in first excited state is } 1s^2 2s^2 2p^5 3s^1$ $\text{In its first excitation state, the electron from 2p will unpair and shift to 3s where its quantum numbers will be:}$ $\text{For the electron in 3s orbital:}$ $\text{• Principal quantum number (n) = 3}$ $\text{• Azimuthal quantum number (l) = 0 (for s orbital)}$ $\text{• Magnetic quantum number (m) = 0 (only possible value when l = 0)}$ $\text{• Spin quantum number (s) = +}\frac{1}{2}$ $\text{Therefore, the quantum numbers are } 3, 0, 0, +\frac{1}{2}$ $\text{The correct answer is option 3.}$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}