Import Question JSON

Current Question (ID: 20090)

Question:

$\text{The electric field in a region is given by } \vec{E} = \frac{a}{x^2} \hat{i} + \frac{b}{y^3} \hat{j}, \text{ where } x \text{ and } y \text{ are coordinates of a point. The SI units of } a \text{ and } b \text{ are respectively:}$

Options:

1. $\text{Nm}^2\text{C}^{-1}, \text{Nm}^3\text{C}^{-1}$
2. $\text{Nm}^3\text{C}^{-1}, \text{Nm}^2\text{C}^{-1}$
3. $\text{NmC}^{-1}, \text{Nm}^2\text{C}^{-1}$
4. $\text{Nm}^2\text{C}^{-1}, \text{NmC}^{-1}$

Solution:

$\text{Unit of Electric Field: } E \Rightarrow \text{N/C}$ $x^2 \rightarrow \text{m}^2$ $y^3 \rightarrow \text{m}^3$ $a \rightarrow \text{Nm}^2\text{C}^{-1}, \ b \rightarrow \text{Nm}^3\text{C}^{-1}$

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
}