Import Question JSON

Current Question (ID: 16686)

Question:

$\text{A battery has emf } 4 \text{ V and internal resistance } r. \text{ When this battery is connected to an external resistance of } 2 \ \Omega, \text{ a current of } 1 \text{ ampere flows in the circuit. How much current will flow if the terminals of the battery are connected directly?}$

Options:

1. $1 \text{ A}$
2. $2 \text{ A}$
3. $4 \text{ A}$
4. $\text{Infinite}$

Solution:

$I = \frac{E}{r + 2}$ $I = \frac{4}{r + 2}$ $r = 2 \ \Omega$ $I = \frac{E}{r} = \frac{4}{2} = 2 \text{ Amp}$

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
}