Import Question JSON

Current Question (ID: 16695)

Question:

$\text{For the circuit shown in the figure, the current } I \text{ will be:}$

Options:

1. $0.75 \text{ A}$
2. $1 \text{ A}$
3. $1.5 \text{ A}$
4. $0.5 \text{ A}$

Solution:

$\text{Hint: Use Kirchoff's law in the given circuit.}$ $\text{Step 1: Find the net resistance and potential difference in the circuit.}$ $\text{The net resistance in the circuit is given by:}$ \Rightarrow R_{\text{net}} = 1 + 1 + 4 = 6 \, \Omega$ $\text{The net potential difference in the circuit is given by:}$ \Rightarrow V_{\text{net}} = 2 + 4 = 6 \, \text{V}$ $\text{Step 2: Find the net current in the circuit.}$ $\text{The net current in the circuit is given by:}$ $I = \frac{V}{R}$ $I = \frac{2+4}{4+1+1} = \frac{6}{6} = 1 \, \text{A}$ $\text{Hence, option (2) is the correct answer.}$

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
}