Import Question JSON

Current Question (ID: 9740)

Question:

$\text{The strings and pulleys shown in the figure are massless. The reading shown by the light spring balance } S \text{ is:}$

Options:

1. $2.4 \text{ kg}$
2. $5 \text{ kg}$
3. $2.5 \text{ kg}$
4. $3 \text{ kg}$

Solution:

$\text{Hint: Spring balance measures tension.}$ $\text{Step 1: Replace spring with string}$ $\text{Step 2: Solve the force equation}$ $3g - T = 3a \text{ ...(1)}$ $T - 2g = 2a \text{ ...(2)}$ $\frac{3g - T}{3} = \frac{T - 2g}{2}$ $T = 2.4g$ $\text{Step 3: Find reading of spring balance}$ $\text{Reading} = \frac{T}{g} = 2.4 \text{ kg}$

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
}