Import Question JSON

Current Question (ID: 20185)

Question:

$\text{A composite parallel plate capacitor is made up of two different}$ $\text{dielectric materials with different thicknesses } (t_1 \text{ and } t_2) \text{ as shown in}$ $\text{the figure. The two different dielectric materials are separated by a}$ $\text{conducting foil } F. \text{ The voltage of the conducting foil is:}$ $\varepsilon_{r_1} = 3; t_1 = 0.5 \text{ mm}$ $\varepsilon_{r_2} = 4; t_2 = 1 \text{ mm}$ $100 \text{ V}$

Options:

1. $20 \text{ V}$
2. $40 \text{ V}$
3. $80 \text{ V}$
4. $60 \text{ V}$

Solution:

$\text{Hint: } C = \frac{\varepsilon_r \varepsilon_0 A}{d}$

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
}