Import Question JSON

Current Question (ID: 7341)

Question:

$\text{A reading on Fahrenheit scale is } 200^\circ\text{F}\text{. The same reading on celsius scale will be:}$

Options:

1. $40^\circ\text{C}$
2. $94^\circ\text{C}$
3. $93^\circ\text{C}$
4. $30^\circ\text{C}$

Solution:

\text{Hint: } {}^{\circ}\text{F} = \frac{9}{5}t{}^{\circ}\text{C} + 32 \text{There are three common scales to measure temperature } {}^{\circ}\text{C} \text{ (degree celsius), } {}^{\circ}\text{F} \text{ (degree fahrenheit) and K (kelvin). The K is the SI unit.} \text{The temperature on two scales are related to each other by the following relationship.} {}^{\circ}\text{F} = \frac{9}{5}t{}^{\circ}\text{C} + 32 \text{Putting the values in above equation} 200 - 32 = \frac{9}{5}t{}^{\circ}\text{C} \Rightarrow \frac{9}{5}t{}^{\circ}\text{C} = 168 \Rightarrow t{}^{\circ}\text{C} = \frac{168 \times 5}{9} = 93.3{}^{\circ}\text{C}

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
}