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Q.

If earth is considered as a short magnet with its centre coinciding with the centre of earth. Then the angle of  dip 𝛅 at a place where the magnetic latitude ‘ λ’ given by

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a

tanδ=2tanλ

b

cotδ=2cotλ

c

tanδ=Tanλ

d

cotδ=cotλ

answer is A.

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Detailed Solution

For  Msinλ, point P is  axial point Hence  B1=μ04π2MsinλR3For  Mcosλ point P is equatorial point        B2=μ04πMcosλR3Here  B1,B2  represents  BV,BH at the point ‘P’Dip at the point ‘P’tanδ=BVB  H =B1B2=2tanλ ⇒tanδ=2tanλHence key (1) is correct.
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If earth is considered as a short magnet with its centre coinciding with the centre of earth. Then the angle of  dip at a place where the magnetic latitude ‘ λ’ given by