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, thentanθ=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 istan45∘=BVBHcos30∘∴tanθtan45∘=cos30∘ or tanθ1=32∴θ=tan−1(3/2)