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The earth's magnetic field at a certain ...

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

A

`tan^(-1)((3)/(4))`

B

`sin^(-1)((3)/(4))`

C

`tan^(-1)((4)/(3))`

D

`sin^(-1)((4)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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)`
`tanphi=(V)/(H)=(0.4)/(0.3)=(4)/(3)`
`therefore phi=tan^(-1)((4)/(3))`
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