Import Question JSON

Current Question (ID: 20645)

Question:

$\text{An electric bulb is rated as } 200 \text{ W. What will be the peak magnetic field at } 4 \text{ m distance produced by the radiations coming from this bulb? Consider the bulb as a point source with } 3.5\% \text{ efficiency.}$

Options:

1. $1.19 \times 10^{-8} \text{ T}$
2. $1.71 \times 10^{-8} \text{ T}$
3. $0.84 \times 10^{-8} \text{ T}$
4. $3.36 \times 10^{-8} \text{ T}$

Solution:

$\text{Hint: } I = \frac{B^2}{2\mu_0 c}$ $I = \frac{P \times \text{Efficiency}}{4\pi r^2}$

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
}