Import Question JSON

Current Question (ID: 16689)

Question:

$\text{For a cell, the graph between the potential difference } (V) \text{ across the terminals of the cell and the current } (I) \text{ drawn from the cell is shown in the figure below.}$ $\text{The emf and the internal resistance of the cell are, respectively:}$

Options:

1. $2 \text{ V}, 0.5 \, \Omega$
2. $2 \text{ V}, 0.4 \, \Omega$
3. $> 2 \text{ V}, 0.5 \, \Omega$
4. $> 2 \text{ V}, 0.4 \, \Omega$

Solution:

$\text{Hint: Emf is the value of voltage when no current is drawn from the circuit.}$ $\text{Step: Find the emf and the internal resistance of the cell.}$ $\text{Emf=} 2 \text{ V as no current is drawn from the circuit.}$ $\text{internal resistance, } r = \text{slope}=\frac{2}{5} = 0.4 \, \Omega$

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
}