Import Question JSON

Current Question (ID: 19004)

Question:

$\text{Match List I with List II}$ $\text{LIST-I}$ \quad \text{LIST-II}$ $\text{A. Torque} \quad \text{I. } \left[ M^1 L^1 T^{-2} A^{-2} \right]$ $\text{B. Magnetic field} \quad \text{II. } \left[ L^2 A^1 \right]$ $\text{C. Magnetic moment} \quad \text{III. } \left[ M^1 T^{-2} A^{-1} \right]$ $\text{D. Permeability of free space} \quad \text{IV. } \left[ M^1 L^2 T^{-2} \right]$ $\text{Choose the correct answer from the options given below:}$

Options:

1. $\text{A-III, B-I, C-II, D-IV}$
2. $\text{A-IV, B-II, C-III, D-I}$
3. $\text{A-IV, B-III, C-II, D-I}$
4. $\text{A-I, B-III, C-II, D-IV}$

Solution:

$\text{Torque has dimensions of } \left[ M^1 L^2 T^{-2} \right] \text{, which matches IV.}$ $\text{Magnetic field has dimensions of } \left[ M^1 T^{-2} A^{-1} \right] \text{, which matches III.}$ $\text{Magnetic moment has dimensions of } \left[ L^2 A^1 \right] \text{, which matches II.}$ $\text{Permeability of free space has dimensions of } \left[ M^1 L^1 T^{-2} A^{-2} \right] \text{, which matches I.}$

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
}