Import Question JSON

Current Question (ID: 16990)

Question:

$\text{In a uniform magnetic field, a ring is rotating about its axis which is parallel to the magnetic field and the magnetic field is perpendicular to the plane of the ring. The induced electric field in the ring:}$

Options:

1. $\text{Is zero.}$
2. $\text{Depends on the radius of the ring.}$
3. $\text{Depends on the nature of the material of the ring.}$
4. $\text{Depends on the product of the magnetic field and speed.}$

Solution:

$\text{Hint: Find the change in magnetic flux through the ring}$ $\text{Step 1: Draw a diagram showing flux.}$ $\phi = BA$ $\text{Step 2: Find change in magnetic flux.}$ $\Delta \phi = 0$ $\text{Step 3: Find induced emf.}$ $\text{Induced EMF} = \frac{\Delta \phi}{\Delta t} = 0$

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
}