Import Question JSON

Current Question (ID: 10771)

Question:

$\text{Given below are two statements:}$ $\text{Assertion (A): While measuring the thermal conductivity of liquid experimentally, the upper layer is kept hot and the lower layer is kept cold.}$ $\text{Reason (R): This avoids the heating of liquid by convection.}$

Options:

1. $\text{Both (A) and (R) are True and (R) is the correct explanation of (A).}$ (Correct)
2. $\text{Both (A) and (R) are True but (R) is not the correct explanation of (A).}$
3. $\text{(A) is True but (R) is False.}$
4. $\text{Both (A) and (R) are False.}$

Solution:

$\text{Hint: Recall the properties of convection.}$ $\text{Explanation:}$ $\text{Assertion (A): While measuring the thermal conductivity of a liquid experimentally, the upper layer is kept hot and the lower layer is kept cold.}$ $\text{This is true because if the liquid is heated from the bottom, convection currents can form, which would interfere with the measurement of thermal conductivity. To measure thermal conductivity accurately, we need to prevent convection and ensure that heat transfer is happening primarily through conduction.}$ $\text{Reason (R): This avoids the heating of liquid by convection.}$ $\text{This is also true because keeping the upper layer hot and the lower layer cold ensures that the warmer, less dense liquid stays at the top, and the cooler, denser liquid stays at the bottom. This setup prevents convection currents from forming, allowing the heat to transfer through the liquid by conduction only.}$ $\text{Since both the assertion and the reason are true, and the reason correctly explains the assertion.}$ $\text{Hence, option (1) is the correct answer.}$

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
}