Import Question JSON

Current Question (ID: 17511)

Question:

$\text{To a diver inside water, the setting sun will appear at an angle (with the horizontal) of: } \left[ \mu_w = \frac{5}{4} \right]$

Options:

1. $53^\circ$
2. $37^\circ$
3. $45^\circ$
4. $60^\circ$

Solution:

$\mu_w = \frac{5}{4}$ $\text{Considering axis normal to the water, sun sets at } 90^0.$ $\text{Hence, } \frac{5}{4} \sin \theta = 1$ $\Rightarrow \sin \theta = \frac{4}{5}$ $\Rightarrow \theta = \sin^{-1} \left( \frac{4}{5} \right) = 53^0$ $\text{Therefore, angle with horizon.}$ $= 90 - 53 = 37^0$

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
}