Import Question JSON

Current Question (ID: 20316)

Question:

$\text{When current of } 4 \text{ A is made to run through a resistance of } R \text{ ohms for } 10 \text{ s, it produces heat energy of } H \text{ units.}$ $\text{Now if } 16 \text{ A of current is made to flow through the same resistance for } 10 \text{ s then the heat energy produced will be:}$

Options:

1. $16H$
2. $4H$
3. $8H$
4. $2H$

Solution:

$H = i^2 R t = 4^2 \times R \times 10 = 160R$ $H' = I^2 R t = 16^2 \times R \times 10 = 2560R = 16H$

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
}