Import Question JSON

Current Question (ID: 20535)

Question:

$\text{A square loop of side } 15 \text{ cm being moved towards right at a constant speed of } 2 \text{ cm/s as shown in figure. The front edge enters the } 50 \text{ cm wide magnetic field at } t = 0. \text{ The value of induced emf in the loop at } t = 10 \text{ s will be:}$

Options:

1. $4.5 \text{ mV}$
2. $3 \text{ mV}$
3. $0.3 \text{ mV}$
4. $\text{zero}$

Solution:

$\text{The loop moves a distance of } 20 \text{ cm in } 10 \text{ s.}$ $\text{Since the width of the magnetic field is } 50 \text{ cm, the loop is still partially in the field.}$ $\text{Thus, the induced emf is zero as the loop is not completely out of the field.}$

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
}