Import Question JSON

Current Question (ID: 20900)

Question:

$\text{An electron in } \text{Be}^{3+} \text{ goes from } n=4 \text{ to } n=2. \text{ The amount of energy released in eV is:}$ $\text{(Ground state energy of H- atom = 13.6 eV)}$

Options:

1. $40.8 \text{ eV}$
2. $122.4 \text{ eV}$
3. $217.6 \text{ eV}$
4. $21.17 \text{ eV}$

Solution:

$\text{Energy released,}$ $= 13.6 \times Z^2 \left( \frac{1}{2^2} - \frac{1}{4^2} \right)$ $= 13.6 \times 16 \times \left( \frac{1}{4} - \frac{1}{16} \right)$ $= 13.6 \times 16 \left( \frac{3}{16} \right) = 40.8 \text{ eV}$

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
}