The earth's magnetic field at a certain place has a horizontal component 0.3 Gauss and the total strength 0.5 Gauss. The angle of dip is

Options

A. `tan^(-1)((3)/(4))`
B. `sin^(-1)""((3)/(4))`
C. `tan^(-1)((4)/(3))`
D. `sin^(-1)""((3)/(5))`

Answer

C

Explanation

Total strength of magnetic field ,
` B^(2)=H^(2)+V^(2)`
` :. V=sqrt(B^(2)-H)=sqrt((0.5^(2)-(0.3)^(2))=0.4`
` tan phi = (V)/(H)=(0.4)/(0.3)=(4)/3`
`:. phi =tan^(-1)""((4)/(3))`