Import Question JSON

Current Question (ID: 17408)

Question:

$\text{Which statement is incorrect?}$ $1.\ \text{Speed of light in free space} = \frac{1}{\sqrt{\mu_0\varepsilon_0}}$ $2.\ \text{Speed of light in the medium} = \frac{1}{\sqrt{\mu\varepsilon}}$ $3.\ \frac{E_0}{B_0} = c$ $4.\ \frac{B_0}{E_0} = c$

Options:

1. $1\ (3\%)$
2. $2\ (4\%)$
3. $3\ (5\%)$
4. $4\ (90\%)$

Solution:

$(4)\ \text{All are correct except (4).}$

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
}