Import Question JSON

Current Question (ID: 16000)

Question:

$\text{The maximum possible wavelength in an open organ pipe of length } l \text{ is:}$

Options:

1. $l$
2. $2l$
3. $3l$
4. $4l$

Solution:

$\text{Hint: Wavelength will be the maximum for the fundamental frequency.}$ $\text{Step 1: Draw the diagram of the standing wave.}$ $\text{Step 2: Find the maximum possible wavelength in an open organ pipe.}$ $l = \frac{n\lambda}{2}$ $\Rightarrow \lambda = \frac{2l}{n}$ $\text{For } \lambda_{\text{max}}, n = 1$ $\Rightarrow \lambda_{\text{max}} = 2l$ $\text{Therefore, the maximum possible wavelength in an open organ pipe } 2l. \text{ Hence, option (2) is the correct answer.}$

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
}