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Question: At a given place on earth’s surface the horizontal component of earth’s magnetic field is 2 x 10-5 T...

At a given place on earth’s surface the horizontal component of earth’s magnetic field is 2 x 10-5 T and resultant magnetic field is 4 x 10-5 T. The angle of dip at this place is

A

30°

B

60°

C

9090 ^ { \circ }

D

4545 ^ { \circ }

Answer

60°

Explanation

Solution

: Since BH=Bcosδ\mathrm { B } _ { \mathrm { H } } = \mathrm { B } \cos \delta

Hence,

cosδ=BHB=2×1054×105=12=cos60\therefore \cos \delta = \frac { B _ { H } } { B } = \frac { 2 \times 10 ^ { - 5 } } { 4 \times 10 ^ { - 5 } } = \frac { 1 } { 2 } = \cos 60 ^ { \circ }

δ=60\Rightarrow \delta = 60 ^ { \circ }