Import Question JSON

Current Question (ID: 17407)

Question:

$\text{A plane electromagnetic wave travels in free space along } x\text{-axis. At a particular point in space, the electric field along } y\text{-axis is } 9.3 \ \text{Vm}^{-1}. \text{ The magnetic induction is:}$

Options:

1. $3.1 \times 10^{-8} \ \text{T}$
2. $3 \times 10^{-5} \ \text{T}$
3. $3 \times 10^{-6} \ \text{T}$
4. $9.3 \times 10^{-6} \ \text{T}$

Solution:

$B = \frac{E}{c} = \frac{9.3}{3 \times 10^8} = 3.1 \times 10^{-8} \ \text{T}$

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
}