Import Question JSON

Current Question (ID: 19003)

Question:

$\text{Voltage and resistance for a resistor are measured as } V = 200 \pm 5 \text{ volts and } R = 20 \pm 0.2 \, \Omega. \text{ The percentage error in current } I = \frac{V}{R} \text{ is } x. \text{ Then the value of } 10x \text{ is:}$ $1. \ 45$ $2. \ 35$ $3. \ 30$ $4. \ 60$

Options:

1. $45$
2. $35$
3. $30$
4. $60$

Solution:

$\frac{\Delta I}{I} = \left( \frac{\Delta V}{V} + \frac{\Delta R}{R} \right)$ $\% \text{ error } = \left( \frac{dV}{V} + \frac{dR}{R} \right) \times 100$ $= \left( \frac{5}{200} + \frac{0.2}{20} \right) \times 100$ $= 3.5$

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
}