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The value of dip at a place is 45^@. The...

The value of dip at a place is `45^@`. The plane of the dip circle is turned through `60^@` from the magnetic meridian. Find the apparent value of dip.

Text Solution

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Let B=Magmetic induction of earth.
Then,`B_(B)=B cos 45^(@)=0.707` B
`B_(v)=Bsin 45^(@)=0.707 B`
When the plane of dip circle a rotated, the horizontal, component in educed a new value
`B’_(H)=B_(H)cos60^(@)=0.707Bxx0.5=0.353B`
However the vertical component of earth.s inductions remains unchanged. Therefore `B_(v) =B_(v)=0.707 `B
Let new (apparent) dip angle be `theta`
Then `tan theta`’=`B_(v)/B_(B)=0.707B/0.353=2.0` `rArr theta ‘=63.5^(@)`
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