Import Question JSON

Current Question (ID: 17371)

Question:

$\text{The core of a transformer is laminated because:}$

Options:

1. $\text{Energy losses due to eddy currents may be minimized}$
2. $\text{The weight of the transformer may be reduced}$
3. $\text{Rusting of the core may be prevented}$
4. $\text{Ratio of voltage in primary and secondary may be increased}$

Solution:

$\text{When magnetic flux linked with a coil changes, induced emf is produced in it}$ $\text{and the induced current flows through the wire forming the coil. In 1895,}$ $\text{Foucault experimentally found that these induced currents are set up in the}$ $\text{conductor in the form of closed loops. These currents look like eddies or}$ $\text{whirlpools and likewise are known as eddy currents. They are also known as}$ $\text{Foucault’s current. These currents oppose the cause of their origin,}$ $\text{therefore, due to eddy currents, a great amount of energy is wasted in the}$ $\text{form of heat energy. If the core of the transformer is laminated, then its}$ $\text{effect can be minimized.}$

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
}