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Magnetic Properties of Matter question

2023 · 10 Apr · Shift 2 · Q50
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  5. /2023 · 10 Apr · Shift 2 · Q50

Magnetic Properties of Matter question

2023 · 10 Apr · Shift 2 · Q50

JEE MainPhysicsMagnetic Properties of MatterMCQ+4 / −1
Given below are two statements: Statement I : For diamagnetic substance, $$-1 \leq \chi Statement II : Diamagnetic substances when placed in an external magnetic field, tend to move from stronger to weaker part of the field. In the light of the above statements, choose the correct answer from the options given below
  1. A
    Both Statement I and Statement II are true
  2. B
    Statement I is correct but Statement II is false
  3. C
    Both Statement I and Statement II are False
  4. D
    Statement I is incorrect but Statement II is true.
View written solutionFree

Correct answer: A

  1. Statement I: For diamagnetic substance, −1≤χ-1 \leq \chi−1≤χ

    Magnetic susceptibility χ\chiχ for a diamagnetic substance is negative.

    Also, for a linear magnetic material, μr=1+χ\mu_r = 1 + \chiμr​=1+χ where μr\mu_rμr​ is the relative permeability.

    Since physical magnetic permeability cannot be negative for ordinary materials, we require μr≥0\mu_r \ge 0μr​≥0 Hence, 1+χ≥0  ⟹  χ≥−11 + \chi \ge 0 \implies \chi \ge -11+χ≥0⟹χ≥−1

    For diamagnetic substances, therefore, −1≤χ<0-1 \le \chi < 0−1≤χ<0 So Statement I is true.

  2. Statement II: Diamagnetic substances in an external magnetic field tend to move from stronger to weaker part of the field

    Diamagnetic substances are weakly repelled by a magnetic field because their induced magnetic moment is opposite to the applied field.

    Therefore, in a non-uniform magnetic field, they move toward the region where the field is weaker.

    So Statement II is also true.

  3. Evaluate the options

    • A: Both Statement I and Statement II are true. ✅
    • B: Statement I is correct but Statement II is false. ❌
    • C: Both Statement I and Statement II are false. ❌
    • D: Statement I is incorrect but Statement II is true. ❌

  4. Final Answer

    The correct option is A.

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