NEET2024Physics-Magnetism

NEET 2024 Physics Magnetic Oscillations MCQ Question

Type: MCQ-numerical-Medium-Class 12

In a uniform magnetic field of 0.049T0.049\,\text{T}, a magnetic needle performs 20 complete oscillations in 5 seconds as shown. The moment of inertia of the needle is 9.8×106kg m29.8 \times 10^{-6}\,\text{kg m}^2. If the magnitude of magnetic moment of the needle is x×105A m2x \times 10^{-5}\,\text{A m}^2, then the value of xx is:

Question diagram
A

50π2\pi^2

B

1280π2\pi^2

C

5π2\pi^2

D

128π2\pi^2

Correct Answer

Option B

Detailed Explanation

Using the formula for oscillation frequency f=12πmBIf = \frac{1}{2\pi} \sqrt{\frac{mB}{I}}, solve for m to find x=5π2x = 5\pi^2.

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