Import Question JSON

Current Question (ID: 18974)

Question:

$\text{A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings } 5.50 \text{ mm}, 5.55 \text{ mm}, 5.45 \text{ mm}, 5.65 \text{ mm}. \text{ The average of these four readings is } 5.5375 \text{ mm} \text{ and the standard deviation of the data is } 0.07395 \text{ mm}. \text{ The average diameter of the pencil should therefore be recorded as:}$

Options:

1. $(5.5375 \pm 0.0739) \text{ mm}$
2. $(5.538 \pm 0.074) \text{ mm}$
3. $(5.54 \pm 0.07) \text{ mm}$
4. $(5.5375 \pm 0.0740) \text{ mm}$

Solution:

$\text{In addition or subtraction, the final result should retain as many decimal places as are there in the number with the least decimal places.}$

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
}