Import Question JSON

Current Question (ID: 7486)

Question:

$\text{Assertion (A): A black body is an ideal body that emits and absorbs radiation of all frequencies.}$\n\n$\text{Reason (R): The frequency of radiation emitted by a body goes from lower frequency to a higher frequency with an increase in temperature.}$

Options:

1. $\text{Both (A) and (R) are True and (R) is the correct explanation of (A).}$
2. $\text{Both (A) and (R) are True but (R) is not the correct explanation of (A).}$
3. $\text{(A) is True but (R) is False.}$
4. $\text{(A) is False but (R) is True.}$

Solution:

$\text{Hint: With the temperature intensity of light increases.}$\n\n$\text{A body that absorbs and emits all radiations falling on it is called a perfect black body. With rise in temperature, the frequency of radiation emitted by the body increases.}$\n\n$\text{Assertion (A) states that a black body is an ideal body that emits and absorbs radiation of all frequencies, which is correct by definition.}$\n\n$\text{Reason (R) states that the frequency of radiation emitted by a body increases with temperature, which is also correct according to Wien's displacement law and Planck's law of black body radiation.}$\n\n$\text{However, the reason (R) explains a property of black body radiation, but it does not explain why a black body absorbs and emits radiation of all frequencies. These are two separate properties of black bodies.}$\n\n$\text{Therefore, both statements are true, but (R) is not the correct explanation of (A).}$

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
}