Import Question JSON

Current Question (ID: 19074)

Question:

$\text{Two cars are travelling towards each other at speed of } 20 \text{ ms}^{-1} \text{ each.}$ $\text{When the cars are } 300 \text{ m apart, both the drivers apply brakes and the cars retard at the rate of } 2 \text{ ms}^{-2}. \text{ The distance between them when they come to rest is:}$

Options:

1. $200 \text{ m}$
2. $50 \text{ m}$
3. $100 \text{ m}$
4. $25 \text{ m}$

Solution:

$\text{Using the equation of motion: } v^2 = u^2 + 2as$ $\text{For each car: } 0 = (20)^2 + 2(-2)s$ $s = \frac{400}{4} = 100 \text{ m}$ $\text{Total distance covered by both cars: } 100 \text{ m} + 100 \text{ m} = 200 \text{ m}$ $\text{Distance between them when they come to rest: } 300 \text{ m} - 200 \text{ m} = 100 \text{ m}$

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
}