Import Question JSON

Current Question (ID: 20243)

Question:

$\text{In the circuit shown, the current through } R_4 \ (I_4) \text{ and } R_5 \ (I_5) \text{ is:}$

Options:

1. $I_4 = \frac{24}{55} \text{ A, and } I_5 = \frac{96}{55} \text{ A}$
2. $I_4 = \frac{96}{55} \text{ A, and } I_5 = \frac{24}{55} \text{ A}$
3. $I_4 = \frac{24}{37} \text{ A, and } I_5 = \frac{96}{37} \text{ A}$
4. $I_4 = \frac{96}{37} \text{ A, and } I_5 = \frac{24}{37} \text{ A}$

Solution:

$R_{eq} = 2 \times \frac{2}{4} + 20 \times \frac{5}{25} + 3 + 3$ $R_{eq} = 11 \Omega$ $\text{Current, } I_T = \frac{24}{11} \text{ A}$ $I_4 = \frac{5}{25} \times \frac{24}{11} \text{ A} = \frac{24}{55} \text{ A}$ $I_5 = \frac{20}{25} \times \frac{24}{11} \text{ A} = \frac{96}{55} \text{ A}$

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
}