Import Question JSON

Current Question (ID: 17402)

Question:

$\text{If a source is transmitting an electromagnetic wave of frequency}$ $8.2 \times 10^6 \ \text{Hz, then the wavelength of the electromagnetic wave transmitted from the source will be:}$

Options:

1. $36.6 \ \text{m}$
2. $40.5 \ \text{m}$
3. $42.3 \ \text{m}$
4. $50.9 \ \text{m}$

Solution:

$\text{Hint: Use, } c = f \lambda$ $\text{Step 1: Use the formula for the speed of the electromagnetic wave}$ $c = f \lambda$ $\lambda = \frac{c}{f}$ $= \frac{3 \times 10^8}{8.2 \times 10^6}$ $= 36.6 \ \text{m}$

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
}