Import Question JSON

Current Question (ID: 19133)

Question:

$\text{Two blocks } A \text{ and } B \text{ of masses } m_A = 1 \text{ kg and } m_B = 3 \text{ kg are kept on the table as shown in figure.}$ $\text{The coefficient of friction between } A \text{ and } B \text{ is } 0.2 \text{ and between } B \text{ and the surface of the table is also } 0.2.$ $\text{The maximum force } F \text{ that can be applied on } B \text{ horizontally, so that the block } A \text{ does not slide over the block } B \text{ is:}$ $[\text{Take } g = 10 \text{ m/s}^2]$

Options:

1. $8 \text{ N}$
2. $40 \text{ N}$
3. $16 \text{ N}$
4. $12 \text{ N}$

Solution:

$\text{Hint: } a_{\text{max}} = \mu g$ $a_{\text{max}} = \mu g = 2$ $F - 8 = \frac{4}{16} \times 2$ $F = 16 \text{ N}$

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
}