Two bar magnets with magnetic moments $2M$ and $M$ are fastened together at right angles to each other at their centres to form a crossed system,which can rotate freely about a vertical axis through the centre. The crossed system sets in the Earth's magnetic field with the magnet having magnetic moment $2M$ making an angle $\theta$ with the magnetic meridian such that:

  • A
    $\theta = \tan^{-1}\left(\frac{1}{\sqrt{3}}\right)$
  • B
    $\theta = \tan^{-1}(\sqrt{3})$
  • C
    $\theta = \tan^{-1}\left(\frac{1}{2}\right)$
  • D
    $\theta = \tan^{-1}\left(\frac{3}{4}\right)$

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If $B_V$ and $B_H$ are respectively the vertical and horizontal components of the earth's magnetic field at a place where the angle of dip is $60^{\circ}$, then the total magnetic field at that place is

At a certain place,the angle of dip is $30^{\circ}$ and the horizontal component of the Earth's magnetic field is $0.50 \text{ Oersted}$. The Earth's total magnetic field is:

Assertion : In high latitudes,one sees colourful curtains of light hanging down from high altitudes.
Reason : The high-energy charged particles from the sun are deflected to polar regions by the magnetic field of the earth.

Explain the angle of dip.

The intensity of the magnetic field due to the Earth at a point inside a hollow steel box is:

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