Import Question JSON

Current Question (ID: 8856)

Question:

$\text{A body is thrown upwards and reaches its maximum height. At that position:}$

Options:

1. $\text{its velocity is zero and its acceleration is also zero.}$
2. $\text{its velocity is zero but its acceleration is maximum.}$
3. $\text{its acceleration is minimum.}$
4. $\text{its velocity is zero and its acceleration is the acceleration due to gravity.}$

Solution:

$\text{Hint: The body stops for a moment at the maximum height.}$ $\text{Explanation: When a body is thrown upwards and reaches its maximum height, the velocity of the body is zero, but the acceleration due to gravity (which acts downwards) is still present and equal to 9.81 m/s}^2 \text{ near the Earth's surface.}$ $\text{Therefore, at the highest point, the particle has zero velocity and its acceleration is the acceleration due to gravity.}$ $\text{Hence, option (4) is the correct answer.}$

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
}