Import Question JSON

Current Question (ID: 16950)

Question:

$\text{In a circuit with a coil of resistance } 2 \, \Omega, \text{ the magnetic flux changes from } 2.0 \, \text{Wb to } 10.0 \, \text{Wb in } 0.2 \, \text{s. The charge that flows in the coil during this time is:}$

Options:

1. $5.0 \, \text{C}$
2. $4.0 \, \text{C}$
3. $1.0 \, \text{C}$
4. $0.8 \, \text{C}$

Solution:

$\Delta Q = \frac{\Delta \phi}{R} = \frac{(10 - 2)}{2} = 4 \, \text{C}$

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
}