A magnet is suspended in such a way that it oscillates in the horizontal plane. It makes 20 oscillations per minute at a place where dip angle is 30 o and 15 oscillations per minute at a place where d

Question

A magnet is suspended in such a way that it oscillates in the horizontal plane. It makes 20 oscillations per minute at a place where dip angle is 30 o and 15 oscillations per minute at a place where dip angle is 60 o . Ratio of the total Earth's magnetic field at the two places is

TestHub · Accepted Answer

If θ is dip angle, then time period of oscillation is T = 2 π I M B c o s θ ∴ T 2 T 1 = B 1 cos ⁡ θ 1 B 2 cos ⁡ θ 2 ∴ B 1 B 2 = T 2 2 cos ⁡ θ 2 T 1 2 cos ⁡ θ 1 B 1 B 2 = 1 15 2 1 20 2 . cos ⁡ 60 o cos ⁡ 30 o B 1 B 2 = 16 9 3

Physics - Magnetism Question with Solution | TestHub

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