Import Question JSON

Current Question (ID: 19130)

Question:

$\text{Two masses } m_1 = 5 \text{ kg and } m_2 = 10 \text{ kg, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure.}$ $\text{The coefficient of friction of the horizontal surface is } 0.15.$ $\text{The minimum weight } m \text{ that should be put on top of } m_2 \text{ to stop the motion is:}$

Options:

1. $18.3 \text{ kg}$
2. $23.3 \text{ kg}$
3. $43.3 \text{ kg}$
4. $10.3 \text{ kg}$

Solution:

$\text{Hint: } F_{\text{max}} = \mu N$ $m_1g = \mu (m_2 + m)$ $5 = .15(10 + m)$ $\frac{500}{15} = 10 + m$ $m = \frac{350}{15} = 23.3$ $\text{So, answer will be (2).}$

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
}