Import Question JSON

Current Question (ID: 8881)

Question:

$\text{Select the correct option based on the statements given below:}$ $\text{Assertion (A): A body can have acceleration even if its velocity is zero at a given instant of time.}$ $\text{Reason (R): A body is momentarily at rest when it reverses its direction of motion.}$

Options:

1. $\text{Both (A) and (R) are True and (R) is the correct explanation of (A).}$
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:

$\text{Analysis of Assertion (A):}$ $\text{A body can have acceleration even if its velocity is zero at a given instant of time.}$ $\text{This is TRUE. Examples include:}$ $\text{1. A ball thrown upward has zero velocity at the highest point but acceleration } g \text{ downward}$ $\text{2. A ball dropped from rest has zero initial velocity but acceleration } g \text{ downward}$ $\text{Analysis of Reason (R):}$ $\text{A body is momentarily at rest when it reverses its direction of motion.}$ $\text{This is also TRUE. When direction changes, velocity must pass through zero.}$ $\text{Relationship between A and R:}$ $\text{While both statements are true, R only describes ONE specific case where velocity is zero}$ $\text{(during direction reversal) but doesn't explain the general principle behind A.}$ $\text{R provides an example of A but not a complete explanation.}$ $\text{Therefore, both (A) and (R) are true, but (R) is not the correct explanation of (A).}$ $\text{Hence, option (2) is the correct answer.}$

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
}