Import Question JSON

Current Question (ID: 10807)

Question:

$\text{Which of the following is closest to an ideal black body?}$

Options:

1. $\text{Black lamp}$
2. $\text{Cavity maintained at a constant temperature}$ (Correct)
3. $\text{Platinum black}$
4. $\text{A lump of charcoal heated to high temperature}$

Solution:

$\text{The closest thing to an ideal black body is a cavity maintained at a constant temperature.}$ $\text{Explanation:}$ $\text{An ideal black body is an object that absorbs all electromagnetic radiation that falls on it, regardless of frequency or angle of incidence. It also radiates thermal energy according to the Stefan-Boltzmann law and Planck's law.}$ $\text{A cavity with a small opening is considered the best practical approximation of an ideal black body. When radiation enters the small hole, it undergoes multiple reflections inside the cavity, with each reflection being partially absorbed by the inner walls. Very little of the original radiation will ever escape, meaning nearly all of it is absorbed. The radiation emitted from the hole by the heated walls is then a very close approximation of black body radiation.}$

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
}