Import Question JSON

Current Question (ID: 20210)

Question:

$\text{For the circuit shown, with}$ $R_1 = 1.0 \, \Omega, \ R_2 = 2.0 \, \Omega, \ E_1 = 2 \, \text{V}, \ E_2 = E_3 = 4 \, \text{V}$ $\text{the potential difference between the points 'a' and 'b' is approximately (in V):}$

Options:

1. $3.7$
2. $2.7$
3. $2.3$
4. $3.3$

Solution:

$\text{Hint: Apply kirchhoff's loop rule.}$ $\frac{2}{2} + \frac{4}{2} + \frac{4}{2} = \Delta V$ $\Delta V = \frac{5}{3/2} = 3.3 \, \text{volt}$

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
}