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Current Question (ID: 16918)

Question:
$\text{There are four light-weight-rod samples } A, B, C, D \text{ separately suspended by threads. A bar magnet is slowly brought near each sample and the following observations are noted:}$ $\text{(i) } A \text{ is feebly repelled. (ii) } B \text{ is feebly attracted.}$ $\text{(iii) } C \text{ is strongly attracted. (iv) } D \text{ remains unaffected.}$ $\text{Which one of the following is true?}$
Options:
  • 1. $C \text{ is of a diamagnetic material.}$
  • 2. $D \text{ is of a ferromagnetic material.}$
  • 3. $A \text{ is of a non-magnetic material.}$
  • 4. $B \text{ is of a paramagnetic material.}$
Solution:
$\text{Hint: The direction of the force on the magnetic materials depends on the type of magnetic materials.}$ $\text{Explanation: Let's analyze the behavior of each sample based on the observations:}$ $A \text{ is feebly repelled: Materials that are feebly repelled by a magnetic field are diamagnetic. Diamagnetic materials create an induced magnetic field in the opposite direction of the applied magnetic field, causing a weak repulsion. } A \text{ is diamagnetic.}$ $B \text{ is feebly attracted: Materials that are feebly attracted by a magnetic field are paramagnetic. Paramagnetic materials have unpaired electrons that align with the magnetic field, but the attraction is weak. } B \text{ is paramagnetic.}$ $C \text{ is strongly attracted: Materials that are strongly attracted by a magnetic field are ferromagnetic. Ferromagnetic materials have a high magnetic susceptibility and are strongly attracted to magnets. } C \text{ is ferromagnetic.}$ $D \text{ remains unaffected: Materials that are unaffected by a magnetic field are typically non-magnetic. These materials do not interact with the magnetic field. } D \text{ is non-magnetic.}$ $\text{Thus the paramagnetic materials will be feebly attracted, diamagnetic materials will be feebly repelled and the ferromagnetic materials will be strongly attracted.}$ $\text{Therefore, } B \text{ is of a paramagnetic material.}$ $\text{Hence, option (4) is the correct answer.}$

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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
}