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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Magnetic Properties of Matter

NEET 2024 · Physics · Magnetic Properties of Matter

The magnetic moment and moment of inertia of a magnetic needle as...

The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, 1.0×10−2 A m1.0 \times 10^{-2} \mathrm{~A} \mathrm{~m} and 10−6π2 kg m2\frac{10^{-6}}{\pi^2} \mathrm{~kg} \mathrm{~m}^2. If it completes 10 oscillations in 10 s , the magnitude of the magnetic field is The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, 1.0 × 10^ -2 ~A ~m and 10^

Options

  1. A0.4 T
  2. B4 T
  3. C0.4 mT
  4. D4 mT

Correct answer

C. 0.4 mT

Step-by-step solution

Time period of oscillation of magnet inside the magnetic field T=2π1MBT=2 \pi \sqrt{\frac{1}{M B}} T=tn=1010=1 sT=\frac{t}{n}=\frac{10}{10}=1 \mathrm{~s} 1=2π10−6π2×1.0×10−2×B1=2 \pi \sqrt{\frac{10^{-6}}{\pi^2 \times 1.0 \times 10^{-2} \times B}} 14=10−4B⇒B=0.4mT\frac{1}{4}=\frac{10^{-4}}{B} \Rightarrow B=0.4 \mathrm{mT}
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