Import Question JSON

Current Question (ID: 19049)

Question:

$\text{Two identical trains cross each other moving on parallel tracks, opposite in direction. Speed of one of the train is } 70 \text{ km/hr and second train has a speed of } 110 \text{ km/hr. If it takes } 8 \text{ seconds for two trains to cross each other then length of trains is equal to}$

Options:

1. $100 \text{ m}$
2. $200 \text{ m}$
3. $300 \text{ m}$
4. $400 \text{ m}$

Solution:

$\text{Hint: Use the concept of relative motion.}$ $\text{Total distance to cover relatively} = 2l$ $\Rightarrow 8 = \frac{2l}{180 \times \frac{5}{18}}$ $\Rightarrow l = 200 \text{ m}$

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
}