Import Question JSON

Current Question (ID: 16407)

Question:

$\text{Four charges are arranged at the corners of a square } ABCD, \text{ as shown in the adjoining figure. The force on the positive charge } Q \text{ kept at the centre } O \text{ is:}$

Options:

1. $\text{Zero}$
2. $\text{Along the diagonal } AC$
3. $\text{Along the diagonal } BD$
4. $\text{Perpendicular to side } AB$

Solution:

$\text{Hint: The resultant force due to charges at points A and C is zero.}$ $\text{Explanation:}$ $(3) \text{ We put a unit positive charge at } O. \text{ Resultant force due to the charge placed at } A \text{ and } C \text{ is zero and resultant charge due to } B \text{ and } D \text{ is towards } D \text{ along the diagonal } BD.$

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
}