Import Question JSON

Current Question (ID: 17032)

Question:

$\text{In the figure magnetic energy stored in the coil is:}$ $\begin{array}{c} \text{2 H} \\ \end{array}$ $\begin{array}{c} 10 \, \text{V} \\ \end{array}$ $\begin{array}{c} 2 \, \Omega \\ \end{array}$

Options:

1. $\text{Zero}$
2. $\text{Infinite}$
3. $25 \, \text{joules}$
4. $\text{None of the above}$

Solution:

$(3) \, i = \frac{V}{R} = \frac{10}{2} = 5 \, \text{A}$ $U = \frac{1}{2} L i^2 = \frac{1}{2} \times 2 \times 25 = 25 \, \text{J}$

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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
}