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Q.

If a magnet is suspended at an angle of 30o to the magnetic meridian, the dip needle makes an angle of 45o with the horizontal. The real dip is

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a

tan−132

b

tan−13

c

tan−132

d

tan−123

answer is A.

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Detailed Solution

Let the actual angle of dip (in the magnetic meridian) is θ. lf BH and, BV be the horizontal and vertical components of earth's magnetic field respectively, thentan⁡θ=BV/BHIn the plane situated at 30. with the magnetic meridian, see fig.(9) , the horizontal component of earth's magneticfield will be BH cos 30o while the vertical component will be BV. The angle of dip in this plane istan⁡45∘=BVBHcos⁡30∘∴tan⁡θtan⁡45∘=cos⁡30∘ or tan⁡θ1=32∴θ=tan−1⁡(3/2)
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