Import Question JSON

Current Question (ID: 17378)

Question:

$\text{When a step-down transformer is connected to a 2400 volt line, the output load receives 80 amps of current.}$ $\text{The ratio of the turns in the primary and secondary coils is } 20 : 1.$ $\text{If transformer efficiency is } 100\%, \text{ then the current flowing in the primary coil will be:}$

Options:

1. $1600 \text{ A}$
2. $20 \text{ A}$
3. $4 \text{ A}$
4. $1.5 \text{ A}$

Solution:

$\left(3\right) \frac{N_s}{N_p} = \frac{V_s}{V_p} \Rightarrow \frac{1}{20} = \frac{V_s}{2400} \Rightarrow V_s = 120 \text{ V}$ $\text{For } 100\% \text{ efficiency } V_s i_s = V_p i_p$ $\Rightarrow 120 \times 80 = 2400 \ i_p \Rightarrow i_p = 4 \text{ A}$

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
}