Import Question JSON

Current Question (ID: 20328)

Question:

$\text{In the given circuit the potential difference across } 700 \, \Omega \text{ resistance is: (i.e., } V_0)$ $\text{1. } 2 \, \text{V}$ $\text{2. } 0.5 \, \text{V}$ $\text{3. } 1.1 \, \text{V}$ $\text{4. zero}$

Options:

1. $2 \, \text{V}$
2. $0.5 \, \text{V}$
3. $1.1 \, \text{V}$
4. $\text{zero}$

Solution:

$\text{Hint: } V = iR$ $i = \frac{7}{3.5k + 0.9k} = \frac{7}{4.4k}$ $V_0 = i \times 700 \, \Omega = \frac{7}{4.4k} \times .7k = \frac{4.9}{4.4} = 1.1 \, \text{V}$

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
}