Import Question JSON

Current Question (ID: 10353)

Question:

The stress versus strain graph is shown for two wires. If $Y_1$ and $Y_2$ are Young modulus of wire $A$ and $B$ respectively, then the correct option is:

Options:

1. $Y_1 > Y_2$
2. $Y_2 > Y_1$
3. $Y_1 = Y_2$
4. cannot say

Solution:

$Y=\text{stress/strain}=\text{slope of the graph}$ Step 1: As $\text{stress} = Y \times \text{Strain}$. It is an equation of a straight line in which slope $= Y$. Step 2: Since, $\text{slope}_1 > \text{slope}_2$ Thus, $Y_1 > Y_2$.

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
}