Import Question JSON

Current Question (ID: 16710)

Question:

$\text{Given below two statements:}$ $\text{Statement I: Kirchhoff's junction law follows the conservation of charge.}$ $\text{Statement II: Kirchhoff's loop law follows the conservation of energy.}$

Options:

1. $\text{Both Statement I and Statement II are incorrect.}$
2. $\text{Statement I is correct but Statement II is incorrect.}$
3. $\text{Statement I is incorrect and Statement II is correct.}$
4. $\text{Both Statement I and Statement II are correct.}$

Solution:

$\text{Hint: Apply the concept of KVL and KCL.}$ $\text{Explanation: Kirchhoff's first law, i.e., Kirchhoff's junction law follows the conservation of charge, as no charge is lost or created at a junction.}$ $\text{Whereas, Kirchhoff's second law, i.e., Kirchhoff's voltage law follows the conservation of energy, as the total energy gained by the charges (via sources like batteries) is equal to the energy lost (via resistors, capacitors, etc.) within a closed loop.}$ $\text{Therefore, both statements are correct.}$ $\text{Hence, option (4) is the correct answer.}$

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
}