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Q.

The plane of dip circle is set in the geographical meridian and the apparent dip is θ. It is then set in a vertical plane perpendicular to the geographical meridian. The apparent dip becomes θ2. The angle of declination α is given by

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a

tan α=tan θ1 x tan θ2

b

tan α=tan θ12 x tan θ22

c

tan α=tan θ1tan θ2

d

tan α=tan θ2tan θ1

answer is C.

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Detailed Solution

Here, in geographical meridian, tan θ1=VH cos αIn a plane perpendicular to the magnetic meridian, tan θ2=VH cos 90o-α=VH sin α∴tan θ1tan θ2=sin αcos α =tan α
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The plane of dip circle is set in the geographical meridian and the apparent dip is θ. It is then set in a vertical plane perpendicular to the geographical meridian. The apparent dip becomes θ2. The angle of declination α is given by