If a magnet is suspended at an angle $ 30{}^\circ
Question:

If a magnet is suspended at an angle 30 30{}^\circ to the magnetic meridian, the dip needle makes angle of 45 45{}^\circ with the horizontal. The real dip is

Updated On: Jun 23, 2023
  • tan1(3/2) {{\tan }^{-1}}(\sqrt{3}/2)
  • tan1(3) {{\tan }^{-1}}(\sqrt{3})
  • tan1(3/2) {{\tan }^{-1}}(3/\sqrt{2})
  • tan1(2/3) {{\tan }^{-1}}(2/\sqrt{3})
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The Correct Option is D

Solution and Explanation

tanδ=tanδcosθ \tan \delta' =\frac{\tan \delta }{\cos \theta } =tan45cos30 =\frac{\tan 45{}^\circ }{\cos 30{}^\circ } tanδ=13/2 \tan \delta' =\frac{1}{\sqrt{3}/2} =23 =\frac{2}{\sqrt{3}} \therefore δ=tan1(23) \delta' ={{\tan }^{-1}}\left( \frac{2}{\sqrt{3}} \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.

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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.