Import Question JSON

Current Question (ID: 20217)

Question:

$\text{The resistive network shown below is connected to a D.C. source of } 16 \text{ V. The power consumed by the network is } 4 \text{ Watt. The value of } R \text{ is:}$ $\varepsilon = 16 \text{ V}$

Options:

1. $16 \, \Omega$
2. $1 \, \Omega$
3. $8 \, \Omega$
4. $6 \, \Omega$

Solution:

$\text{Hint: } P = \frac{V^2}{R}$ $P = \frac{V^2}{R}$ $4 = \frac{16}{R} \times 16$ $R = 8R$ $R = 8 \, \Omega$

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
}