Import Question JSON

Current Question (ID: 17024)

Question:

$\text{The coefficient of mutual inductance between two coils depends upon:}$

Options:

1. $\text{medium between coils}$
2. $\text{separation between coils}$
3. $\text{orientation of coils}$
4. $\text{All of these}$

Solution:

$\text{Hint: Recall the mutual inductance.}$ $\text{Step 1: In the case of a solenoid kept inside a bigger solenoid.}$ $\text{Coefficient mutual inductance depends on-}$ $\text{Medium between coils}$ $\text{Orientation of coils}$ $\text{Step 2: Two coils are separated by some distance}$ $\text{Flux due to one coil on the second coil changes with the change in}$ $\text{separation between the coils so coefficient mutual inductance also changes.}$ $\text{Hence coefficient mutual inductance also depends on the separation}$ $\text{between the coil.}$

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
}