Import Question JSON

Current Question (ID: 17000)

Question:

$\text{A conducting square loop of side } L \text{ and resistance } R \text{ moves in its plane with a uniform velocity } v \text{ perpendicular to one of its sides.}$ $\text{A magnetic induction } B \text{ constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere.}$ $\text{The current induced in the loop is:}$

Options:

1. $\frac{Blv}{R} \text{ clockwise}$
2. $\frac{Blv}{R} \text{ anticlockwise}$
3. $\frac{2Blv}{R} \text{ anticlockwise}$
4. $\text{zero}$

Solution:

$\text{No flux change is taking place because magnetic field exists everywhere}$ $\text{and is constant in time and space.}$

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
}