Import Question JSON

Current Question (ID: 16961)

Question:

$\text{A magnet is brought towards a coil first (i) speedily (ii) slowly.}$ $\text{It can be concluded that the induced e.m.f. and the induced charge in the two cases,}$ $\text{will be respectively:}$

Options:

1. $\text{More in the first case, more in the first case.}$
2. $\text{More in the first case, equal in both cases.}$
3. $\text{Less in the first case, more in the second case.}$
4. $\text{Less in the first case, equal in both cases.}$

Solution:

$\text{The magnitude of induced e.m.f. is directly proportional to the rate of}$ $\text{change of magnetic flux. Induced charge doesn’t depend upon time.}$

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
}