Import Question JSON

Current Question (ID: 17461)

Question:

$\text{The frequency } 1057 \text{ MHz of radiation arising due to electron transition between two close energy levels in hydrogen belongs to:}$

Options:

1. $\text{radio waves}$
2. $\text{infrared waves}$
3. $\text{microwaves}$
4. $\gamma\text{-rays}$

Solution:

$\text{Hint: } \lambda = \frac{c}{f}$ $\text{Step: Find the wavelength of the radiation.}$ $\text{The wavelength of the radiation is given by:}$ $\lambda = \frac{c}{f}$ $\text{Substitute the known values we get:}$ $\lambda = \frac{c}{f} = \frac{3 \times 10^8}{1057 \times 10^6} = 0.28 \text{ m}$ $\text{For radio-waves, } \lambda > 0.1 \text{ m}$ $\text{Hence, option (1) is the correct answer.}$

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
}