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GUJCET · Physics · Magnetism And Matter
A bar magnet is oscillating in earth's magnetie field with period time T. If a similar magnet with the same mass and volume has magnetic dipole moment which is 9 times that of this magnet, then its periodic time will be _________ .
- A \(\frac{ T }{6}\)
- B \(\frac{ T }{9}\)
- C \(\frac{ T }{3}\)
- D \(\frac{ T }{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{ T }{3}\)
Step-by-step Solution
Detailed explanation
C
\(\begin{array}{l} T =2 \pi \sqrt{\frac{ I }{m B}} \\ T =2 \pi \sqrt{\frac{ I }{9 m B}} \\ T =\frac{1}{3} 2 \pi \sqrt{\frac{ I }{m B}} \\ T =\frac{ T }{3}\end{array}\)
\(\begin{array}{l} T =2 \pi \sqrt{\frac{ I }{m B}} \\ T =2 \pi \sqrt{\frac{ I }{9 m B}} \\ T =\frac{1}{3} 2 \pi \sqrt{\frac{ I }{m B}} \\ T =\frac{ T }{3}\end{array}\)
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