Import Question JSON

Current Question (ID: 16580)

Question:

$\text{If the dielectric constant and dielectric strength be denoted by } k \text{ and } x \text{ respectively, then a material suitable for use as a dielectric in a capacitor must have:}$ $1. \text{ high } k \text{ and high } x.$ $2. \text{ high } k \text{ and low } x.$ $3. \text{ low } k \text{ and low } x.$ $4. \text{ low } k \text{ and high } x.$

Options:

1. $\text{high } k \text{ and high } x.$
2. $\text{high } k \text{ and low } x.$
3. $\text{low } k \text{ and low } x.$
4. $\text{low } k \text{ and high } x.$

Solution:

$\text{High } k \text{ means good insulating property and high } x \text{ means able to withstand electric field to a higher value.}$

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
}