Import Question JSON

Current Question (ID: 17403)

Question:

$\text{Out of the following options which one can be used to produce a propagating electromagnetic wave?}$

Options:

1. $\text{a stationary charge.}$
2. $\text{a chargeless particle.}$
3. $\text{an accelerating charge.}$
4. $\text{a charge moving at constant velocity.}$

Solution:

$\text{Electromagnetic waves are the waves that have both electric and magnetic components and the electric and magnetic field changes with space and time.}$ $\text{A stationary charge has an electric field present around it but it doesn’t have a magnetic field.}$ $\text{A moving charge produces both electric and magnetic fields but in case of an accelerating charge, electric field as well as magnetic field changes with space and time and produces EM wave.}$

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
}