Import Question JSON

Current Question (ID: 17460)

Question:

$\text{The energy of the EM wave is of the order of 15 KeV. To which part of the spectrum does it belong?}$

Options:

1. $\text{X-rays}$
2. $\text{Infrared rays}$
3. $\text{Ultraviolet rays}$
4. $\text{Y-rays}$

Solution:

$\text{Given, the energy of EM waves is of the order of 15 keV.}$ $E = h \nu = \frac{hc}{\lambda}$ $\Rightarrow \lambda = \frac{hc}{E}$ $\lambda = \frac{6.624 \times 10^{-34} \times 3 \times 10^8}{15 \times 10^3 \times 1.6 \times 10^{-19}} = 0.828 \ \text{Å}$ $\text{Since the order of the wavelength is between 10 nm and 0.001 nm, it belongs to the X-ray part of the spectrum.}$

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
}