Import Question JSON

Current Question (ID: 10344)

Question:

$\text{A wire can sustain a weight of 10 kg before breaking. If the wire is cut into two equal parts, then each part can sustain a weight of:}$

Options:

1. $2.5 \text{ kg}$
2. $5 \text{ kg}$
3. $10 \text{ kg}$
4. $15 \text{ kg}$

Solution:

$\text{Hint: Maximum load is not related to length.}$ $\text{The maximum load that a wire can sustain depends on its breaking strength, which is determined by:}$ $\text{1. Cross-sectional area of the wire}$ $\text{2. Material properties (tensile strength)}$ $\text{The maximum load is NOT dependent on the length of the wire.}$ $\text{When the wire is cut into two equal parts:}$ $\text{- Each part has the same cross-sectional area as the original wire}$ $\text{- Each part has the same material properties as the original wire}$ $\text{- Only the length changes, but length does not affect the maximum load capacity}$ $\text{Therefore, each part can sustain the same maximum weight as the original wire.}$ $\text{Answer: Each part can sustain a weight of 10 kg.}$

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
}