Import Question JSON

Current Question (ID: 18988)

Question:

$\text{The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are } 1\% , 2\% \text{ and } 3\% \text{ respectively. The maximum percentage error in the detection of the dissipated heat will be:}$

Options:

1. $2$
2. $4$
3. $6$
4. $8$

Solution:

$\text{The formula for dissipated heat } H \text{ is given by } H = I^2 R t.$ $\text{The percentage error in } H \text{ is given by:}$ $\Delta H = 2 \times \Delta I + \Delta R + \Delta t = 2 \times 2\% + 1\% + 3\% = 8\%.$

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
}