Import Question JSON

Current Question (ID: 19202)

Question:

$\text{A block of mass } M \text{ slides down on a rough inclined plane with constant velocity.}$ $\text{The angle made by the incline plane with horizontal is } \theta.$ $\text{The magnitude of the contact force will be:}$

Options:

1. $Mg$
2. $Mg \cos \theta$
3. $\sqrt{Mg \sin \theta + Mg \cos \theta}$
4. $Mg \sin \theta \sqrt{1 + \mu}$

Solution:

$\text{Since the block slides with constant velocity, the net force along the incline is zero.}$ $\text{The contact force is the resultant of the normal force and the frictional force.}$ $\text{Thus, the contact force is } Mg.$

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
}