Import Question JSON

Current Question (ID: 20084)

Question:

$\text{Two point charges } A \text{ and } B \text{ of magnitude } +8 \times 10^{-6} \text{ C and } -8 \times 10^{-6} \text{ C respectively are placed at a distance } d \text{ apart.}$ $\text{The electric field at the middle point } O \text{ between the charges is } 6.4 \times 10^{-4} \text{ NC}^{-1}. \text{ The distance } d \text{ between the point charges } A \text{ and } B \text{ is:}$

Options:

1. $2.0 \text{ m}$
2. $3.0 \text{ m}$
3. $1.0 \text{ m}$
4. $4.0 \text{ m}$

Solution:

$\text{Hint: } E = \frac{kQ}{r^2}$

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
}