Import Question JSON

Current Question (ID: 19208)

Question:

$\text{A body moving horizontally has an initial speed of } 20 \text{ m/s. Due to friction, the body stops after } 5 \text{ s. If the mass of the body is } 5 \text{ kg, the coefficient of friction is: (Take } g = 10 \text{ m/s}^2)$

Options:

1. $0.1$
2. $0.2$
3. $0.3$
4. $0.4$

Solution:

$\text{Given,}$ $u = 20 \text{ m/s and } t = 5 \text{ s}$ $f = \mu mg$ $a = \frac{f}{m} = -\mu g$ $v = u + at = 20 + (-\mu g)(5)$ $0 = 20 - 50\mu$ $\mu = 0.4$

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
}