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Question: The vertical component of earth’s magnetic field at a place is \(\sqrt { 3 }\) times the horizontal ...

The vertical component of earth’s magnetic field at a place is 3\sqrt { 3 } times the horizontal component the value of angle of dip at this place is

A

30°

B

45°

C

60°

D

90°

Answer

60°

Explanation

Solution

: As, ,

Also, tanδ=BVBH=3 BHBH=3\tan \delta = \frac { \mathrm { B } _ { \mathrm { V } } } { \mathrm { B } _ { \mathrm { H } } } = \frac { \sqrt { 3 } \mathrm {~B} _ { \mathrm { H } } } { \mathrm { B } _ { \mathrm { H } } } = \sqrt { 3 }

Or , δ=tan1(3)=60\delta = \tan ^ { - 1 } ( \sqrt { 3 } ) = 60 ^ { \circ }

Angle of dip, δ=60\delta = 60 ^ { \circ }