Import Question JSON

Current Question (ID: 19090)

Question:

$\text{A person can throw a ball up to a maximum range of } 100 \text{ m.}$ $\text{How high above the ground can he throw the same ball?}$

Options:

1. $25 \text{ m}$
2. $50 \text{ m}$
3. $100 \text{ m}$
4. $200 \text{ m}$

Solution:

$\text{Hint: } H_{\text{max}} = \frac{u^2}{2g}$ $\text{Step 1: Find the value of } \frac{u^2}{g}.$ $\text{The maximum range is given by:}$ $R_{\text{max}} = \frac{u^2}{g}$ $\Rightarrow \frac{u^2}{g} = 100$ $\text{Step 2: Find the maximum height reached by the ball.}$ $H_{\text{max}} = \frac{u^2}{2g}$ $\Rightarrow H_{\text{max}} = \frac{100}{2}$ $\Rightarrow H_{\text{max}} = 50 \text{ m}$ $\text{Hence, option (2) is the correct answer.}$

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
}