Import Question JSON

Current Question (ID: 19290)

Question:

$\text{A cricket ball of mass } 0.15 \text{ kg is thrown vertically up by a bowling machine so that it rises to a maximum height of } 20 \text{ m after leaving the machine.}$ $\text{If the part pushing the ball applies a constant force } F \text{ on the ball and moves horizontally a distance of } 0.2 \text{ m while launching the ball, the value of } F \text{ (in N) is: } (g = 10 \text{ m/s}^2)$

Options:

1. $50$
2. $100$
3. $150$
4. $200$

Solution:

$\text{Apply work-energy theorem.}$ $W_F = \frac{1}{2}mv^2 = mgh$ $F(S) = mgh$ $F(0.2) = (0.15)(10)(20)$ $F = 150 \text{ N}$

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
}