Import Question JSON

Current Question (ID: 16732)

Question:

$\text{In the circuit shown in the figure below, the current supplied by the battery is:}$

Options:

1. $2 \text{ A}$
2. $1 \text{ A}$
3. $0.5 \text{ A}$
4. $0.4 \text{ A}$

Solution:

$\text{Hint: } V = IR$ $\text{Step: Find the current supplied by the battery.}$ $R' = \frac{R_1 \times R_2}{R_1 + R_2}$ $R' = \frac{40 \times 120}{40 + 120} = 30 \ \Omega$ $\Rightarrow R_{eq} = 10 + 30 = 40 \ \Omega$ $\text{The current supplied by the battery is given by:}$ $i = \frac{E}{R_{eq}}$ $\Rightarrow i = \frac{40}{40} = 1 \ \text{A}$ $\text{Hence, option (2) is the correct answer.}$

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
}