Import Question JSON

Current Question (ID: 19069)

Question:

$\text{An object begins to move along the positive } x\text{-direction with an initial speed of } 10 \text{ m/s and a constant acceleration of } 2 \text{ m/s}^2. \text{ How much time will it take to reach a speed of } 60 \text{ m/s?}$

Options:

1. $25 \text{ s}$
2. $20 \text{ s}$
3. $30 \text{ s}$
4. $15 \text{ s}$

Solution:

$\text{Hint: } v = u + at$ $\text{Step: Find the time it takes for the object to reach a speed of } 60 \text{ m/s}$ $\text{Using the equation, } v = u + at$ $\text{We have given that, } v = 60 \text{ m/s}, \ u = 10 \text{ m/s}, \ a = 2 \text{ m/s}^2$ $\Rightarrow 60 = 10 + 2t$ $\Rightarrow t = 25 \text{ s}$ $\text{Hence, option (1) is the correct answer.}$

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
}