Import Question JSON

Current Question (ID: 8865)

Question:

$\text{A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 ms}^{-1}\text{. How much time does the ball take to return to his hands?}$

Options:

1. $5 \text{ s}$
2. $10 \text{ s}$
3. $15 \text{ s}$
4. $7 \text{ s}$

Solution:

$\text{Hint: Find the time of flight of the ball.}$ $\text{Step 1: Find the final velocity of the ball.}$ $\text{The final velocity of the ball = 0}$ $\text{Step 2: Find the time of flight of the ball.}$ $T = 2\left[\frac{u}{g}\right] = 2 \times \frac{49}{9.8} = 10 \text{ sec}$ $\text{Therefore, the time of the flight of the ball is 10 sec.}$ $\text{Hence, option (2) is the correct answer.}$

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
}