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Current Question (ID: 16534)

Question:
$\text{Given below are two statements:}$ $\text{Assertion (A): A metallic shield in the form of a hollow shell may be built to block an electric field.}$ $\text{Reason (R): In a hollow spherical shield, the electric field inside it is zero at every point.}$
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. $\text{(A) is False but (R) is True.}$
Solution:
$\text{Hint: The electric field inside a conductor (or a cavity within it) is zero.}$ $\text{Explanation: Let's analyze the given statements step-by-step:}$ $\text{Assertion (A): A metallic shield in the form of a hollow shell may be built to block an electric field.}$ $\text{This concept is related to electrostatic shielding, where a conducting hollow shell blocks external electric fields.}$ $\text{The charges in the conductor rearrange themselves on the outer surface, ensuring that the field inside the conductor or its cavity is zero.}$ $\text{This statement is true.}$ $\text{Reason (R): In a hollow spherical shield, the electric field inside it is zero at every point.}$ $\text{This statement is also true. This follows from Gauss’s law, which states that the electric field inside a conductor (or a cavity within it) is zero if no charge is enclosed inside the cavity.}$ $\text{Yes, Reason (R) correctly explains why a metallic shield works: the field inside a conducting hollow shell becomes zero because of the redistribution of charges on the surface of the conductor.}$ $\text{Hence, option (1) is the correct answer.}$

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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
}