The angle of dip at a place is `37^@` and the vertical component of the earth's magnetic field is `6 times 10^-5 T`. The earth magnetic field at this place is

Options

A. `7 times 10^-5 T`
B. `6 times 10^-5 T`
C. `5 times 10^-5 T`
D. `10^-4 T`

Answer

D

Explanation

Given: `tan 37^@=3/4`
The vertical component of the earth.s magnetic field
`B_v=6 times 10^-5 T`
`sin 37^@=3/5`
For vertical component
`B_v= B sin theta`
or `B=B_v/ (sin theta)`
or `B=(6 times 10^-5)/3 times 5`
or `B=10 times 10^-5`
or `B=10^-4 T`