Import Question JSON

Current Question (ID: 10447)

Question:

$\text{A wooden block with a coin placed on its top, floats in water as shown in fig. The distance } l \text{ and } h \text{ are shown there. After some time the coin falls into the water. Then:}$

Options:

1. $l \text{ decreases and } h \text{ increases}$
2. $l \text{ increases and } h \text{ decreases}$
3. $\text{Both } l \text{ and } h \text{ increase}$
4. $\text{Both } l \text{ and } h \text{ decrease}$

Solution:

$\text{As the block moves up with the fall of coin, } l \text{ decreases, similarly } h \text{ will also decrease because when the coin is in water, it displaces water equal to its own volume only.}$

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
}