Import Question JSON

Current Question (ID: 20224)

Question:

$\text{In the given circuit, an } 8\ \text{V battery powers a network of resistors. The current } i_1 \text{ flows from point } A \text{ to point } C \text{ through the resistor network. The value of } i_1 \text{ is:}$

Options:

1. $2\ \text{A}$
2. $1\ \text{A}$
3. $5\ \text{A}$
4. $4\ \text{A}$

Solution:

$\text{Hint: } V = IR$ $\text{Step: Find the current flowing from } A \text{ to } C. \text{ Resolving the circuit, we get;} \newline ABCD \text{ represents a balanced Wheatstone bridge, so } V_B = V_D. \text{ Thus, no current passes from } B \text{ to } D. \newline \text{The voltage across } AC = 8\ \text{V} \newline \text{The current } i_1 \text{ flowing through } AC \text{ is given by;} \newline \Rightarrow i_1 = \frac{V_{AC}}{R_{AC}} = \frac{8}{4+4} = 1\ \text{A} \newline \text{Hence, option (2) is the correct answer.}$

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
}