Question

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

• `tan^-1  3/4`

• `sin^-1  3/4`

• `tan^-1  4/3`

• `sin^-1  3/5`

Answer 1

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 `underline(tan^-1  4/3)`.

Explanation:

`"B"_"v" = sqrt("B"^2 - "B"^2_"H") = sqrt((0.5)^2 - (0.3)^2)`

`"B"_"v" = 0.4`

Now, `tan phi = "B"_"v"/"B"_"H" = 0.4/0.3 = 4/3`

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