Import Question JSON

Current Question (ID: 20561)

Question:

$\text{If the primary side of a transformer is connected with } 230 \text{ V, } 50 \text{ Hz AC supply and the ratio of the number of turns of primary to the secondary winding is } 10 : 1. \text{ The load resistance at the secondary coil is } 46 \, \Omega, \text{ then the power output of the secondary windings is:}$

Options:

1. $11.5 \text{ watt}$
2. $13 \text{ watt}$
3. $16 \text{ watt}$
4. $15.6 \text{ watt}$

Solution:

$\text{Hint: } P_0 = \frac{V_0^2}{R}$ $\frac{V_i}{V_o} = \frac{N_i}{N_o} = 10$ $V_o = 23 \text{ V}$ $P_o = \frac{V_o^2}{R} = \frac{23 \times 23}{46}$ $P_o = 11.5 \text{ W}$

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
}