Import Question JSON

Current Question (ID: 17381)

Question:

$\text{In a transformer, the number of turns in the primary and secondary coils is } 410 \text{ and } 1230 \text{ respectively. If the current in the primary is } 6 \text{ A, then what is the current in the secondary coil?}$ $1. \ 2 \ \text{A}$ $2. \ 18 \ \text{A}$ $3. \ 12 \ \text{A}$ $4. \ 1 \ \text{A}$

Options:

1. $2 \ \text{A}$
2. $18 \ \text{A}$
3. $12 \ \text{A}$
4. $1 \ \text{A}$

Solution:

$\text{Hint: For an ideal transformer } N_p I_p = N_s I_s$ $\text{Step: Find the current in the secondary coil.}$ $\text{For an ideal transformer, the product of the number of turns and current in the primary and secondary coils is related by:}$ $\Rightarrow N_p I_p = N_s I_s$ $\Rightarrow I_s = \frac{N_p}{N_s} \times I_p$ $\text{Substitute the known values we get,}$ $I_s = \frac{410}{1230} \times 6 = 2 \ \text{A}$ $\text{Hence, option (1) is the correct answer.}$

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
}