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TS EAMCET · Physics · Magnetic Properties of Matter

If two identical bar magnets, each of length \(l\), pole strength \(m\) and magnetic moment \(M\) are placed perpendicular to each other with their unlike poles in contact, the magnetic moment of the combination is

  1. A \(\frac{M}{\sqrt{2}}\)
  2. B \(\operatorname{lm}(\sqrt{2})\)
  3. C \(2 \operatorname{lm}(\sqrt{2})\)
  4. D \(2 M\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\operatorname{lm}(\sqrt{2})\)

Step-by-step Solution

Detailed explanation

When magnets are placed perpendicular to each other then, Resultant magnetic moment \(M^{\prime}=\sqrt{M_1^2+M_2^2}\) Here, \(M_1=M_2=M\) So, \(M^{\prime}=M \sqrt{2}=m l \sqrt{2}\) \([\because M=m l]\)