Import Question JSON

Current Question (ID: 10721)

Question:

$\text{If a graph is plotted between the temperature of a body in degrees Celsius (along the y-axis) and Fahrenheit (along the x-axis) at different temperatures, then the slope of the graph will be:}$

Options:

1. $\frac{5}{9}$ (Correct)
2. $\frac{9}{5}$
3. $\frac{3}{5}$
4. $\frac{5}{3}$

Solution:

$\text{The relation between degree celsius and degree Fahrenheit is:}$ $C = (F - 32) \frac{5}{9}$ $\text{Where:}$ $\text{C - along y-axis}$ $\text{F - along x-axis}$ $\text{Rearranging the equation:}$ $y = (x - 32) \frac{5}{9}$ $y = \frac{5x}{9} - \frac{32 \times 5}{9}$ $y = mx + c \text{ ... equation of straight line}$ $\text{On comparing, we get:}$ $\text{Slope} = m = \frac{5}{9}$

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
}