Import Question JSON

Current Question (ID: 19991)

Question:

$\text{Two sitar strings } A \text{ and } B \text{ playing the note 'Dha' are slightly out of tune and produce beats of frequency } 5 \text{ Hz.}$ $\text{The tension of the string } B \text{ is slightly increased and the beat frequency is found to decrease by } 3 \text{ Hz.}$ $\text{If the frequency of } A \text{ is } 425 \text{ Hz, then the original frequency of } B \text{ is:}$

Options:

1. $428 \text{ Hz}$
2. $430 \text{ Hz}$
3. $422 \text{ Hz}$
4. $420 \text{ Hz}$

Solution:

$\text{Hint: } \nu_{\text{beat}} = \nu_1 - \nu_2$

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
}