Import Question JSON

Current Question (ID: 20254)

Question:

$\text{Consider the following circuit. All resistors have resistance } 10 \, \Omega \text{ each. The value of } \left| \frac{i_1 + i_2}{i_3} \right| \text{ is:}$

Options:

1. $2$
2. $1$
3. $3$
4. $1/3$

Solution:

$\text{Magnitudes of current:}$ $I_1 = -\frac{\varepsilon}{R}$ $I_2 = -\frac{\varepsilon}{R}$ $I_3 = \frac{\varepsilon}{R}$ $\left| \frac{I_1 + I_2}{I_3} \right| = \frac{2\varepsilon/R}{\varepsilon/R} = 2$

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
}