Import Question JSON

Current Question (ID: 20087)

Question:

$\text{Three-point charges of magnitude } 5 \, \mu\text{C}, \, 0.16 \, \mu\text{C} \text{ and } 0.3 \, \mu\text{C} \text{ are located at the vertices } A, B, C \text{ of a right-angled triangle whose sides are } AB = 3 \, \text{cm}, \, BC = 3\sqrt{2} \, \text{cm} \text{ and } CA = 3 \, \text{cm} \text{ and point } A \text{ is the right-angle corner. Charge at point } A \text{ experiences an electrostatic force due to the other two charges equal to:}$

Options:

1. $11 \, \text{N}$
2. $17 \, \text{N}$
3. $15 \, \text{N}$
4. $19 \, \text{N}$

Solution:

$\text{Hint: } F = \frac{k q_1 q_2}{r^2}$

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
}