Import Question JSON

Current Question (ID: 19201)

Question:

$\text{A bag is gently dropped on a conveyor belt moving at a speed of } 2 \text{ m/s.}$ $\text{The coefficient of friction between the conveyor belt and bag is } 0.4.$ $\text{Initially, the bag slips on the belt before it stops due to friction.}$ $\text{The distance traveled by the bag on the belt during slipping motion is:}$ $[\text{Take } g = 10 \text{ m/s}^2]$

Options:

1. $2 \text{ m}$
2. $0.5 \text{ m}$
3. $3.2 \text{ m}$
4. $0.8 \text{ m}$

Solution:

$\text{The frictional force } f = \mu mg = 0.4 \times m \times 10 = 4m.$ $\text{The deceleration } a = \frac{f}{m} = 4 \text{ m/s}^2.$ $\text{Using the equation } v^2 = u^2 - 2as,$ $0 = (2)^2 - 2 \times 4 \times s,$ $s = \frac{4}{8} = 0.5 \text{ m}.$

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
}