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NEET
Exam
NEET
Subject
Physics
Chapter
Magnetic Properties of Matter

NEET · Physics · Magnetic Properties of Matter

Given below are two statements: Statement I: When a straight bar...

Given below are two statements:

Statement I: When a straight bar magnet of magnetic moment MM is bent into a semicircle, its magnetic moment decreases to 2Mπ\dfrac{2M}{\pi}.

Statement II: The pole strength of a bar magnet decreases when it is bent into a curved shape.

In the light of the above statements, choose the most appropriate answer from the options given below:

Options

  1. ABoth Statement I and Statement II are correct
  2. BStatement I is correct but Statement II is incorrect
  3. CStatement I is incorrect but Statement II is correct
  4. DBoth Statement I and Statement II are incorrect

Correct answer

B. Statement I is correct but Statement II is incorrect

Step-by-step solution

Statement I is correct: Let the initial length of the bar magnet be LL and its pole strength be mm. Its magnetic moment is M=mLM = m L. When bent into a semicircle of radius RR, the arc length is L=πRL = \pi R, which gives R=LπR = \dfrac{L}{\pi}. The new effective magnetic length is the shortest distance between the poles, which is the diameter 2R=2Lπ2R = \dfrac{2L}{\pi}. The new magnetic moment is M′=m(2Lπ)=2MπM' = m \left( \dfrac{2L}{\pi} \right) = \dfrac{2M}{\pi}.

Statement II is incorrect: The pole strength of a bar magnet depends only on the nature of the material and its cross-sectional area. It does not change when the magnet is bent into a curved shape.

Answer: Statement I is correct but Statement II is incorrect
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