Import Question JSON

Current Question (ID: 8866)

Question:

$\text{A particle starts from rest (with constant acceleration) and acquires velocity 20 m/s in 5 s. The distance travelled by the particle in the next 2 s will be:}$

Options:

1. $50 \text{ m}$
2. $48 \text{ m}$
3. $100 \text{ m}$
4. $150 \text{ m}$

Solution:

$\text{Hint: Find the acceleration of the particle and then use the second equation of the motion for finding the distance in the next 2 sec.}$ $\text{Step 1: Find the acceleration of the particle.}$ $\text{Using 1st equation of motion:}$ $v = u + at$ $20 = 0 + 5a$ $a = 4 \text{ m/s}^2$ $\text{Step 2: Find the distance in the next 2sec.}$ $\text{Use 2nd equation of motion:}$ $s = 20 \times 2 + \frac{1}{2} \times 4(2)^2$ $= 48 \text{ m.}$ $\text{Hence, option (2) is the correct answer.}$

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
}