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JEE Main 2021 (20 Jul, Shift 2) · Earth's Magnetism

Earth's Magnetism question from JEE Main 2021 (20 Jul, Shift 2)

Q5JEE Main 2021 · 20 JUL · SHIFT 2Medium

Earth's Magnetism

At an angle of 30∘^\circ to the magnetic meridian, the apparent dip is 45∘^\circ. Find the true dip:

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Answer: (d)

  1. tan⁡δ=tan⁡δ′cos⁡α\tan\delta = \tan\delta'\cos\alpha
  2. tan⁡δ=tan⁡45∘cos⁡30∘=32\tan\delta = \tan 45^\circ \cos 30^\circ = \frac{\sqrt{3}}{2}
  3. So the answer is (d) tan⁡−132\tan^{-1}\frac{\sqrt{3}}{2}.
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