Import Question JSON

Current Question (ID: 17472)

Question:

$\text{A car is moving on a straight road at a speed of } 50 \text{ km/h and a truck is ahead of the car and has a large plane mirror fixed vertically on the back of the truck.}$ $\text{The truck is running at a speed of } 70 \text{ km/h.}$ $\text{For a stationary observer standing between the car and the truck, what is the speed of the image of the car in the mirror?}$

Options:

1. $40 \text{ km/h}$
2. $70 \text{ km/h}$
3. $20 \text{ km/h}$
4. $90 \text{ km/h}$

Solution:

$\text{The speed of the image of the car in the mirror is given by the relative speed of the car with respect to the truck.}$ $\text{Relative speed} = 70 \text{ km/h} - 50 \text{ km/h} = 20 \text{ km/h}$ $\text{Since the mirror reflects the image, the speed of the image is doubled:}$ $2 \times 20 \text{ km/h} = 40 \text{ km/h}$

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
}