Import Question JSON

Current Question (ID: 10449)

Question:

$\text{A block of ice floats on a liquid of density } 1.2 \text{ g/cm}^3 \text{ in a beaker. The level of liquid when ice completely melts:}$

Options:

1. $\text{Remains same}$
2. $\text{Rises}$
3. $\text{Lowers}$
4. $\text{(1), (2) or (3)}$

Solution:

\text{Volume of liquid displaced by floating ice: } V_D = \frac{M}{\rho_L} \text{Volume of water formed by melting ice: } V_F = \frac{M}{\rho_W} \text{If } \rho_L = \rho_W \text{, then } V_D = V_F \text{The volume displaced equals the volume formed, so liquid level remains constant.}

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
}