Import Question JSON

Current Question (ID: 17428)

Question:

$\text{In a plane EM wave, the electric field oscillates sinusoidally at a frequency of } 2.5 \times 10^{10} \text{ Hz and amplitude } 480 \text{ V/m.}$ $\text{The amplitude of the oscillating magnetic field will be:}$

Options:

1. $1.52 \times 10^{-8} \text{ Wb/m}^2$
2. $1.52 \times 10^{-7} \text{ Wb/m}^2$
3. $1.6 \times 10^{-6} \text{ Wb/m}^2$
4. $1.6 \times 10^{-7} \text{ Wb/m}^2$

Solution:

$(3) \text{ Amplitude of Magnetic field} = \frac{E_0}{c} = \frac{480}{3 \times 10^8}$ $= 1.6 \times 10^{-6} \text{ Wb/m}^2$

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
}