Import Question JSON

Current Question (ID: 16388)

Question:

$\text{A polythene piece rubbed with wool is found to have a negative charge of } 3 \times 10^{-7} \text{ C. Transfer of mass from wool to polythene is:}$

Options:

1. $0.7 \times 10^{-18} \text{ kg}$
2. $1.7 \times 10^{-17} \text{ kg}$
3. $0.7 \times 10^{-17} \text{ kg}$
4. $1.7 \times 10^{-18} \text{ kg}$

Solution:

$\text{Hint: Transfer of electrons also results in transfer of mass.}$ $\text{Step 1: Find the number of electrons transferred.}$ $\text{As } Q = ne$ $\Rightarrow n = \frac{Q}{e} = \frac{3 \times 10^{-7}}{1.6 \times 10^{-19}}$ $\Rightarrow n = 1.875 \times 10^{12}$ $\text{Step 2: Find the mass transferred from wool to polythene.}$ $\text{The mass transferred } m = m_e \times n$ $m = 9.1 \times 10^{-31} \times 1.875 \times 10^{12}$ $m = 1.7 \times 10^{-18} \text{ kg}$ $\text{Hence, option (4) is the correct answer.}$

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
}