Import Question JSON

Current Question (ID: 20638)

Question:

$\text{A plane electromagnetic wave of frequency travels in free space along the positive } x\text{-direction. At a particular point in space and time, } \vec{E} = 6.3 \hat{j} \text{ V/m. The corresponding magnetic field } \vec{B}, \text{ at that point will be:}$

Options:

1. $18.9 \times 10^{-8} \hat{k} \text{ T}$
2. $2.1 \times 10^{-8} \hat{k} \text{ T}$
3. $6.3 \times 10^{-8} \hat{k} \text{ T}$
4. $18.9 \times 10^{8} \hat{k} \text{ T}$

Solution:

$\text{Hint: } \frac{E_0}{B_0} = c$

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
}