Import Question JSON

Current Question (ID: 16805)

Question:

$\text{What is a representation of the magnetic field caused by a straight conductor}$ $\text{with a uniform cross-section and a steady current of radius } a?$

Options:

1. $\text{Graph 1}$
2. $\text{Graph 2}$
3. $\text{Graph 3}$
4. $\text{Graph 4}$

Solution:

$\text{Hint: Find the magnetic field inside and outside the wire using Ampere's law.}$ $\text{For outside point,}$ $B_{\text{out}} (2\pi r_1) = \mu_0 I$ $B_{\text{out}} = \frac{\mu_0 I}{2\pi r_1}$ $\text{For inside point,}$ $j = \frac{I}{\pi a^2}$ $i_1 = j(\pi r^2)$ $\int \vec{B}_1 \cdot d\vec{l}_1 = \mu_0 i_1$ $B_{\text{in}} = \frac{\mu_0 I r}{2}$

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
}