Import Question JSON

Current Question (ID: 8917)

Question:

$\text{In the following displacement } (x) \text{ versus time } (t) \text{ graph, at which points } P, Q \text{ and } R \text{ will the object's speed be increasing?}$

Options:

1. $R \text{ only}$
2. $P \text{ only}$
3. $Q \text{ and } R \text{ only}$
4. $P, Q, R$

Solution:

$\text{Hint: Speed is the slope of the } x\text{-}t \text{ graph.}$ $\text{Explanation: The magnitude of the slope is increasing at point } R. \text{ The magnitude of the slope of the displacement-time graph represents the speed.}$ $\text{At point } P\text{: The slope is approximately zero (at the maximum), so speed is not increasing.}$ $\text{At point } Q\text{: The slope is negative but the magnitude is decreasing (curve is flattening).}$ $\text{At point } R\text{: The slope is negative and becoming more negative (steeper), so the magnitude is increasing.}$ $\text{Therefore, the speed is increasing only at point } R.$

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
}