Import Question JSON

Current Question (ID: 17458)

Question:

$\text{An electromagnetic radiation has an energy } 14.4 \text{ keV. To which region of the electromagnetic spectrum does it belong?}$ $1. \text{ Infrared region}$ $2. \text{ Visible region}$ $3. \text{ X-ray region}$ $4. \gamma\text{-ray region}$

Options:

1. $\text{Infrared region}$
2. $\text{Visible region}$
3. $\text{X-ray region}$
4. $\gamma\text{-ray region}$

Solution:

$\text{Hint: Calculate wavelength and compare for all regions.}$ $\text{Step: Find the wavelength corresponding to the energy of the photon.}$ $\text{Given: } E = 14.4 \text{ keV}$ $E = \frac{hc}{\lambda}$ $\lambda \left( \text{in nm} \right) = \frac{1240}{E \left( \text{in eV} \right)}$ $\lambda = \frac{1240}{14.4 \times 10^3} = \frac{0.31}{36} = 0.08 \text{ nm}$ $\text{The range of } X\text{-rays is } 10^{-10} \text{ m to } 10^{-9} \text{ m (This lies in the range of wavelength of X-ray.)}$ $\text{Hence, option (3) is the correct answer.}$

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
}