Import Question JSON

Current Question (ID: 15930)

Question:

$\text{Which one of the following statements is true?}$

Options:

1. $\text{Both light and sound waves in the air are transverse.}$
2. $\text{The sound waves in the air are longitudinal while the light waves are transverse.}$
3. $\text{Both light and sound waves in the air are longitudinal.}$
4. $\text{Both light and sound waves can travel in a vacuum.}$

Solution:

$\text{Hint: Light waves are transverse waves.}$ $\text{Explanation: In a longitudinal wave, the particles of the medium oscillate about their mean or equilibrium position along the direction of propagation of the wave itself.}$ $\text{Sound waves are longitudinal in nature. In transverse waves, the particles of the medium oscillate about their mean or equilibrium position at right angles to the direction of propagation of the wave itself.}$ $\text{Light waves being electromagnetic are transverse waves.}$ $\text{Hence, option (2) is the correct answer.}$

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
}