Import Question JSON

Current Question (ID: 19129)

Question:

$\text{Given in the figure are two blocks } A \text{ and } B \text{ of weight } 20 \text{ N and } 100 \text{ N, respectively. These are being pressed against a wall by a force } F \text{ as shown.}$ $\text{If the coefficient of friction between the blocks is } 0.1 \text{ and between block } B \text{ and the wall is } 0.15, \text{ the frictional force applied by the wall on block } B \text{ is:}$

Options:

1. $100 \text{ N}$
2. $80 \text{ N}$
3. $120 \text{ N}$
4. $150 \text{ N}$

Solution:

$\text{Hint: } f = \mu N$ $\text{For equilibrium of } A$ $f_1 = 20 \text{ N}$ $\text{For equilibrium of } B$ $f_1 + 100 = f_2$ $f_2 = 120 \text{ N}$

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
}