Import Question JSON

Current Question (ID: 9746)

Question:

$\text{A block } B \text{ of mass 3 kg is kept on block } A \text{ of mass 5 kg in a lift accelerating upward with an acceleration of } g\text{. The reaction by } A \text{ on } B \text{ is:}$

Options:

1. $10g$
2. $16g$
3. $4g$
4. $6g$

Solution:

$\text{Hint: Acceleration of block B is equal to the acceleration of the lift.}$ $\text{Step 1: Draw the FBD of block B.}$ $\text{Step 2: Use the force equation for block B.}$ $N_A - Mg = Ma$ $N_A = 2(3g)$ $= 6g$

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
}