Import Question JSON

Current Question (ID: 20455)

Question:

$\text{Given below are two statements:}$ $\text{Statement I:}$ \text{When currents vary with time, Newton's third law is valid only if momentum carried by the electromagnetic field is taken into account.}$ $\text{Statement II:}$ \text{Ampere's circuital law does not depend on Biot-Savart's law.}$ $\text{In the light of the above statements, choose the correct answer from the options given below:}$

Options:

1. $\text{Both Statement I and Statement II are false}$
2. $\text{Statement I is false, but Statement II is true.}$
3. $\text{Both Statement I and Statement II are true.}$
4. $\text{Statement I is true, but Statement II is false.}$

Solution:

$\text{Statement I is true because when currents vary with time, the electromagnetic field carries momentum, which must be considered for Newton's third law to hold.}$ $\text{Statement II is false because Ampere's circuital law is related to Biot-Savart's law in the context of magnetic fields.}$

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
}