Import Question JSON

Current Question (ID: 8733)

Question:

$\text{Temperature can be expressed as a derived quantity in terms of any of the following:}$

Options:

1. $\text{length and mass}$
2. $\text{mass and time}$
3. $\text{length, mass, and time}$
4. $\text{none of the above}$

Solution:

$\text{Hint: Temperature is a fundamental quantity.}$ $\text{Explanation: Fundamental quantities cannot be expressed as derived quantities. Therefore, temperature cannot be expressed as a derived quantity in terms of mass, length, and time.}$ $\text{Temperature is one of the seven fundamental quantities in the SI system of units, along with mass, length, time, electric current, amount of substance, and luminous intensity.}$ $\text{Since temperature is a fundamental quantity, it is independent and cannot be derived from or expressed in terms of other physical quantities.}$ $\text{Hence, option (4) is the correct answer.}$

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
}