Import Question JSON

Current Question (ID: 20872)

Question:

$\text{Given that the threshold frequency of the metal is } 1.4 \times 10^{15} \text{ sec}^{-1}, \text{ what is the minimum energy required to eject a photoelectron from the metal?}$ $\text{[given: } h = 6.6 \times 10^{-34} \text{ J sec]}$

Options:

1. $9.24 \times 10^{-19} \text{ J}$
2. $9.24 \times 10^{-18} \text{ J}$
3. $4.62 \times 10^{-19} \text{ J}$
4. $4.62 \times 10^{-18} \text{ J}$

Solution:

$E = E_0 + KE$ $\text{For minimum energy } E = E_0$ $E = \left( \frac{hc}{\lambda} \right) = h\nu$ $= 6.6 \times 10^{-34} \times 1.4 \times 10^{15}$ $= 9.24 \times 10^{-19} \text{ J}$

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
}