Import Question JSON

Current Question (ID: 19213)

Question:

$A \ 2 \ \text{kg} \ \text{brick} \ \text{begins} \ \text{to} \ \text{slide} \ \text{over} \ \text{a} \ \text{surface} \ \text{which} \ \text{is} \ \text{inclined} \ \text{at} \ \text{an} \ \text{angle} \ \text{of} \ 45^\circ \ \text{with} \ \text{respect} \ \text{to} \ \text{horizontal} \ \text{axis.}$ $\text{The} \ \text{co-efficient} \ \text{of} \ \text{static} \ \text{friction} \ \text{between} \ \text{their} \ \text{surfaces} \ \text{is} -$

Options:

1. $1$
2. $0.5$
3. $1.7$
4. $\frac{1}{\sqrt{3}}$

Solution:

$\text{For} \ \text{an} \ \text{object} \ \text{to} \ \text{just} \ \text{begin} \ \text{to} \ \text{slide,} \ \mu_s = \tan \theta.$ $\text{Here,} \ \theta = 45^\circ.$ $\therefore \mu_s = \tan 45^\circ = 1.$

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
}