Import Question JSON

Current Question (ID: 17445)

Question:

$\text{Choose the correct option:}$

Options:

1. $\text{The radiation in increasing order of frequency are radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays.}$
2. $\text{The wavelength of colours in increasing order is violet, indigo, green, yellow, orange and red.}$
3. $\text{The speed of light is maximum in vacuum.}$
4. $\text{All options are correct.}$

Solution:

$\text{Hint: } \lambda \propto \frac{1}{f}. $ $\text{Step 1: Recall the order of EM waves in order of decreasing frequency.}$ $\text{The velocity of light in a medium is given by:}$ $v = \frac{c}{\mu}$ $\text{The value of the refractive index is minimum for the vacuum. So, the velocity of light is maximum in a vacuum.}$

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
}