question_answer

If the earth field induction at a place is 0.36 respectively gauss and angle of dip is \[60{}^\circ \]. The  horizontal and vertical component of the field will be

A)  0.18 gauss, 0.18 \[\sqrt{3}\]gauss

B)  0.09 gauss, 0.09 \[\sqrt{3}\]gauss

C)  0.36 gauss, 0.36 \[\sqrt{3}\]gauss

D)  None of the above

Correct Answer: A

Solution :

                 Angle of dip (9) at a place is defined as the angle between the direction of earths magnetic field  and horizontal component (H) in the magnetic meridian at that place.                 \[H=B\cos \theta \] Given,   B = 0.36 gauss, \[\theta ={{60}^{o}}\] \[\therefore \]  \[H=0.36\times \frac{1}{2}=0.18\] gauss and vertical component is                                 \[V=B\,\sin \theta \]                 \[=0.36\times \frac{\sqrt{3}}{2}\]                 \[V=0.18\,\sqrt{3}\] gauss