Import Question JSON

Current Question (ID: 8771)

Question:

$\text{The mass and volume of a body are 4.237 grams and 2.5 cm}^3\text{, respectively. The density of the material of the body in correct significant figures will be:}$

Options:

1. $1.6048 \text{ grams cm}^{-3}$
2. $1.69 \text{ grams cm}^{-3}$
3. $1.7 \text{ grams cm}^{-3}$
4. $1.695 \text{ grams cm}^{-3}$

Solution:

\text{Hint: No. of significant figures in result = 2} \text{Step 1: Find the density of the body.} \text{In this question, density should be reported to two significant figures.} \text{Density} = \frac{4.237\text{ g}}{2.5\text{ cm}^3} = 1.6948\text{ g cm}^{-3} \text{Step 2: Round off the value to appropriate significant figures.} \text{The result should have as many significant figures as there are in the value with the least significant figures.} \text{As rounding off the number, we get density} = 1.7\text{ g cm}^{-3} \text{Therefore, the density of the material is }1.7\text{ g cm}^{-3}\text{.} \text{Hence, option (3) 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
}