Import Question JSON

Current Question (ID: 16708)

Question:

$\text{What is the value of current } I \text{ in the network shown below?}$

Options:

1. $2 \text{ A}$
2. $3 \text{ A}$
3. $4 \text{ A}$
4. $7 \text{ A}$

Solution:

$\text{Let current in DC branch be } I_1 \text{ as shown above.}$ $\text{Applying KCL at junction A, we get:}$ $10 = 4 + 3 + I_{AD}$ $\Rightarrow I_{AD} = 3 \text{ Amp}$ $\text{Applying KCL at junction D, we get:}$ $I_{AD} = I_1 + I_{DE}$ $\Rightarrow I_{DE} = 3 - I_1$ $\text{Applying KCL at junction C, we get}$ $3 + 4 + I_1 = I_{CE} + 3$ $\Rightarrow I_{CE} = 4 + I_1$ $\text{Now, applying KCL at point E, we get:}$ $I_{DE} + I_{CE} = I$ $I = 3 - I_1 + 4 + I_1 = 7 \text{ Amp.}$

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
}