Import Question JSON

Current Question (ID: 16921)

Question:

$\text{The susceptibility of a paramagnetic material is } 99. \text{ The permeability of the material in Wb/A-m is:}$ $\text{(Permeability of free space, } \mu_0 = 4\pi \times 10^{-7} \text{ Wb/A-m )}$

Options:

1. $4\pi \times 10^{-7}$
2. $4\pi \times 10^{-4}$
3. $4\pi \times 10^{-5}$
4. $4\pi \times 10^{-6}$

Solution:

$\text{Hint: } \mu = \mu_0 \left(1 + \chi_m\right)$ $\text{Step: Find the permeability of the material.}$ $\chi = 99$ $\mu_r = 1 + \chi = 100$ $\mu = \mu_r \times \mu_0 = 100 \times 4\pi \times 10^{-7} = 4\pi \times 10^{-5}$

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
}