Import Question JSON

Current Question (ID: 20155)

Question:

$\text{In the given circuit diagram, the total charge stored in capacitors is } 50 \, \mu\text{C. The value of capacitor } x \text{ is:}$

Options:

1. $3$
2. $0$
3. $2$
4. $1$

Solution:

$\text{Hint: } Q = CV$ $\text{Step: Find the value of the capacitor } x.$ $\text{We know that the charge on the capacitor is given by relation } Q = CV$ $\Rightarrow q_{\text{total}} = C_1V + C_2V + C_3V$ $\Rightarrow 50 \, \mu\text{C} = 20 \, \mu\text{C} + 10x \, \mu\text{C} + 30 \, \mu\text{C}$ $\Rightarrow x = 0$ $\text{Hence, option (2) is the correct answer.}$

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
}