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A dip needle arranged to move freely in ...

A dip needle arranged to move freely in the magnetic meridian dips by an angle `theta`. The vertical plane in which the needle moves is now rotated through an angle `alpha` from the magnetic meridian. Through what angle the needle will dip in the new position?

A

less than `theta`

B

`alpha`

C

`theta`

D

more than `theta`

Text Solution

Verified by Experts

The correct Answer is:
D
When it is in the magnetic meridian, `tan theta=V/H`. When the vertical circle is turned through an angle `alpha`, the effective horizontal component will be `H cos alpha`.
and `tan theta'=V/(H cos alpha)=(tan theta)/(cos alpha)`
As `cos alpha lt 1, tan theta' gt tan theta :. theta' gt theta`
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