Import Question JSON

Current Question (ID: 17496)

Question:

$\text{For a light incident from air on a slab of refractive index 2, the maximum possible angle of refraction is:}$

Options:

1. $30^\circ$
2. $45^\circ$
3. $60^\circ$
4. $90^\circ$

Solution:

$\text{Using Snell's law,}$ $\mu_1 \sin i = \mu_2 \sin r$ $1 \times \sin i = 2 \times \sin r$ $\frac{\sin i}{2} = \sin r$ $\text{At maximum } r,$ $\sin i = 90^\circ$ $\text{So, } \sin r = \frac{1}{2}$ $\text{or, } r = 30^\circ$

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
}