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Magnetism and Matter question

2024 · Q168
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Magnetism and Matter question

2024 · Q168

NEETPhysicsMagnetism and MatterMCQ+4 / −1

The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, 1.0×10−2 A m21.0 \times 10^{-2} \mathrm{~A} \mathrm{~m}^21.0×10−2 A m2 and 10−6π2 kg m2\frac{10^{-6}}{\pi^2} \mathrm{~kg} \mathrm{~m}^2π210−6​ kg m2. If it completes 10 oscillations in 10 s10 \mathrm{~s}10 s, the magnitude of the magnetic field is

NEET 2024 (Re-Examination) Physics - Magnetism and Matter Question 2 English

  1. A
    0.4 T
  2. B
    4 T
  3. C
    0.4 mT
  4. D
    4 mT
View written solutionFree

Correct answer: C

Time period of oscillation of magnet inside the magnetic field $$T=2 \pi \sqrt{\frac{I}{M B}}$$

$$\begin{aligned} & T=\frac{t}{n}=\frac{10}{10}=1 \mathrm{~s} \\ & 1=2 \pi \sqrt{\frac{10^{-6}}{\pi^2 \times 1.0 \times 10^{-2} \times B}} \\ & \frac{1}{4}=\frac{10^{-4}}{B} \Rightarrow B=0.4 \mathrm{~mT} \end{aligned}$$

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