Import Question JSON

Current Question (ID: 8759)

Question:

$\text{The mean length of an object is 5 cm. Which of the following measurements is the most accurate?}$

Options:

1. $4.9 \text{ cm}$
2. $4.805 \text{ cm}$
3. $5.25 \text{ cm}$
4. $5.4 \text{ cm}$

Solution:

$\text{Hint: The accuracy of a measurement depends on the closeness of the measurement to the true value.}$ $\text{Step 1: Find the difference between the measured values and the true value.}$ $\text{Given length } l = 5 \text{ cm}$ $\text{Now, checking the errors with each option one by one, we get:}$ $\Delta l_1 = |5 - 4.9| = 0.1 \text{ cm}$ $\Delta l_2 = |5 - 4.805| = 0.195 \text{ cm}$ $\Delta l_3 = |5.25 - 5| = 0.25 \text{ cm}$ $\Delta l_4 = |5.4 - 5| = 0.4 \text{ cm}$ $\text{Step 2: Find the most accurate value.}$ $\text{Error } \Delta l_1 \text{ is the least among all errors.}$ $\text{Therefore, 4.9 cm is the most precise.}$ $\text{Hence, option (1) is the correct answer.}$

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
}