Import Question JSON

Current Question (ID: 20211)

Question:
$\text{In the figure shown, what is the current (in Ampere) drawn from the battery? You are given}$ $R_1 = 15 \, \Omega, \ R_2 = 10 \, \Omega, \ R_3 = 20 \, \Omega, \ R_4 = 5 \, \Omega, \ R_5 = 25 \, \Omega, \ R_6 = 30 \, \Omega$
Options:
  • 1. $\frac{7}{18}$
  • 2. $\frac{20}{3}$
  • 3. $\frac{9}{32}$
  • 4. $\frac{13}{24}$
Solution:
$\text{Hint: } I = \frac{V}{R_{\text{eff}}}$ $i = \frac{15}{45 + \frac{25}{3}} = \frac{3}{9 + \frac{5}{3}} = \frac{9}{32}$

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
}