Import Question JSON

Current Question (ID: 10411)

Question:

$\text{Choose the correct statement.}$

Options:

1. $\text{Breaking stress does not depend on the area of cross-section.}$
2. $B_{\text{solid}} > B_{\text{gas}} > B_{\text{liquid}} \text{ where } B \text{ is the bulk modulus.}$
3. $\text{Breaking load does not depend on the area of cross-section.}$
4. $\text{Young's modulus always decreases on decreasing the temperature.}$

Solution:

$\text{Let's evaluate each statement briefly:}$ $\text{1. Breaking stress does not depend on the area of cross-section. True. Breaking stress is an intrinsic material property.}$ $\text{2. } B_{\text{solid}} > B_{\text{gas}} > B_{\text{liquid}} \text{ where } B \text{ is the bulk modulus. False. The correct order is } B_{\text{solid}} > B_{\text{liquid}} > B_{\text{gas}}\text{. Gases are the most compressible.}$ $\text{3. Breaking load does not depend on the area of cross-section. False. Breaking load (force) = Breaking stress × Area. It depends on the area.}$ $\text{4. Young's modulus always decreases on decreasing the temperature. False. Young's modulus generally increases as temperature decreases (materials become stiffer).}$ $\text{Therefore, the correct statement is 1.}$

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
}