Import Question JSON

Current Question (ID: 17413)

Question:

$\text{The electric and magnetic fields of an electromagnetic wave are:}$

Options:

1. $\text{In phase and parallel to each other}$
2. $\text{In opposite phases and perpendicular to each other}$
3. $\text{In opposite phases and parallel to each other}$
4. $\text{In phase and perpendicular to each other}$

Solution:

$\text{The sinusoidal variation in both electric and magnetic field vectors occurs (}$ $\vec{E}$ $\text{and}$ $\vec{B}$ $\text{) simultaneously. As a result, they attain the maxima and minima at the same place and at the same time.}$ $\text{The amplitudes of the electric and magnetic fields in free space are related by field vector (}$ $\vec{B}$ $\text{) are vibrating along Y and Z directions and propagation of the electromagnetic wave is shown in X-direction.}$ $\text{Hence, electric and magnetic fields are in phase and perpendicular to each other.}$

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
}