Import Question JSON

Current Question (ID: 20592)

Question:

$\text{An alternating emf } E = 440 \sin(100\pi t) \text{ is applied to a circuit containing an inductance of } \frac{\sqrt{2}}{\pi} \text{ H. If an AC ammeter is connected to the circuit, its reading will be:}$ $1.\ 4.4\ \text{A}$ $2.\ 1.55\ \text{A}$ $3.\ 2.2\ \text{A}$ $4.\ 3.11\ \text{A}$

Options:

1. $4.4\ \text{A}$
2. $1.55\ \text{A}$
3. $2.2\ \text{A}$
4. $3.11\ \text{A}$

Solution:

$\text{Hint: } X_L = \omega L$

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
}