Import Question JSON

Current Question (ID: 19183)

Question:

$\text{A block of mass } 10 \text{ kg starts sliding on a surface with an initial velocity of } 9.8 \text{ ms}^{-1}. \text{ The coefficient of friction between the surface and block is } 0.5. \text{ The distance covered by the block before coming to rest is: [use } g = 9.8 \text{ ms}^{-2}]$

Options:

1. $4.9 \text{ m}$
2. $9.8 \text{ m}$
3. $12.5 \text{ m}$
4. $19.6 \text{ m}$

Solution:

$\text{Using the equation of motion: } v^2 = u^2 + 2as$ $\text{where } v = 0, u = 9.8 \text{ ms}^{-1}, a = -\mu g = -0.5 \times 9.8 \text{ ms}^{-2}$ $0 = (9.8)^2 + 2(-0.5 \times 9.8)s$ $s = \frac{(9.8)^2}{2 \times 0.5 \times 9.8} = 9.8 \text{ m}$

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
}