Import Question JSON

Current Question (ID: 16486)

Question:

$\text{In a circuit, } 5 \text{ C of charge is passed through a battery in a given time. The plates of the battery are maintained at a potential difference of } 12 \text{ V. The work done by the battery is:}$

Options:

1. $120 \text{ J}$
2. $60 \text{ J}$
3. $30 \text{ J}$
4. $15 \text{ J}$

Solution:

$\text{Hint: } Q \Delta V$ $\text{Step: Find the work done by the battery.}$ $\text{Work done by the battery is; } Q \Delta V$ $\Rightarrow Q \Delta V = 5 \times 12 = 60 \text{ J}$ $\text{Hence, option (2) is the correct answer.}$

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
}