A dip needle lies initially in the magnetic meridian when it shows an angle of dip θ at a place. The dip circle is rotated through an angle x in the horizontal plane and then it shows an angle of dip

Question

A dip needle lies initially in the magnetic meridian when it shows an angle of dip θ at a place. The dip circle is rotated through an angle x in the horizontal plane and then it shows an angle of dip θ ′ . Then tan ⁡ θ ′ tan ⁡ θ is

TestHub · Accepted Answer

In the magnetic meridian, true dip θ is given by, tan ⁡ θ = B V B H When the dip circle is rotated through an angle x in the horizontal plane, Apparent dip θ ′ is given by. tan ⁡ θ ′ = B V B H cos ⁡ x ∴ tan ⁡ θ ′ tan ⁡ θ = 1 cos ⁡ x

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