Import Question JSON

Current Question (ID: 18999)

Question:

$\text{Consider the following Assertion and Reason:}$ $\text{Assertion (A):}$ $\text{If radius of ball (5} \pm 0.1\text{) mm, then error in terminal velocity is 4\%.}$ $\text{Reason (R):}$ $\text{Terminal velocity is directly proportional to radius (r).}$

Options:

1. $\text{Both A and R are correct and R is the correct explanation of A.}$
2. $\text{Both A and R are correct but R is not the correct explanation of A.}$
3. $\text{A is true R is false}$
4. $\text{A is false R is true}$

Solution:

$V_T = \frac{2}{9 \eta} | \sigma - \rho | r^2 g \Rightarrow V_T \propto r^2$ $\% \text{ error in } V_T = 2 \times \left( \frac{0.1}{5} \times 100\% \right) = 4\%$

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
}