Import Question JSON

Current Question (ID: 20094)

Question:

$\text{The electric field in a region is given by } \vec{E} = (6\hat{i} + 7\hat{j} + 8\hat{k}) \text{ (in V/m). An area of } 30 \text{ m}^2 \text{ is considered in the } y-z \text{ plane. Then the electric flux through this area (in V} \cdot \text{m) is:}$ $1.\ 180$ $2.\ 150$ $3.\ 170$ $4.\ 130$

Options:

1. $180$
2. $150$
3. $170$
4. $130$

Solution:

$\text{Hint: } \phi = \vec{E} \cdot \vec{A}$ $\phi = \vec{E} \cdot \vec{A} = (6\hat{i} + 7\hat{j} + 8\hat{k}) \cdot 30\hat{i} = 180$

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
}