A magnet hung at 45° with magnetic meridian makes an angle of 60° with the horizontal. The actual value of the angle of dip is
\(\tan^{-1}\left(\sqrt{\frac{3}{2}}\right)\)
\(\tan^{-1}\left(\sqrt{6}\right)\)
\(\tan^{-1}\left(\sqrt{\frac{2}{3}}\right)\)
\(\tan^{-1}\left(\sqrt{\frac{1}{2}}\right)\)
The Correct Option is A
Solution and Explanation
The correct answer is (A) : \(\tan^{-1}\left(\sqrt{\frac{3}{2}}\right)\)
\(\tan60°=\frac{B_0\sin\delta}{B_0\cos \delta \cos45°}\)
\(⇒\tan\delta=\sqrt{\frac{3}{2}}\)
\(\delta=\tan^{-1}\left(\sqrt{\frac{3}{2}}\right)\)
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Concepts Used:
Magnetism & Matter
Magnets are used in many devices like electric bells, telephones, radio, loudspeakers, motors, fans, screwdrivers, lifting heavy iron loads, super-fast trains, especially in foreign countries, refrigerators, etc.
Magnetite is the world’s first magnet. This is also called a natural magnet. Though magnets occur naturally, we can also impart magnetic properties to a substance. It would be an artificial magnet in that case.
Read More: Magnetism and Matter
Some of the properties of the magnetic field lines are:
- The lines and continuous and outside the magnet, the field lines originate from the North pole and terminate at the South pole
- They form closed loops traversing inside the magnet.
- But here the lines seem to originate from the South pole and terminate at the North pole to form closed loops.
- More number of close lines indicate a stronger magnetic field
- The lines do not intersect each other
- The tangent drawn at the field line gives the direction of the field at that point.