In which direction would the magnetic field on the axis at a distance $Z$ from the centre of the bar magnet be?

  • A
    In the direction of the magnetic dipole moment ( $\overrightarrow{M}$ ) of the magnet.
  • B
    In the opposite direction of the magnetic dipole moment ( $\overrightarrow{M}$ ) of the magnet.
  • C
    In the perpendicular direction of the magnetic moment ( $\overrightarrow{M}$ ) of the magnet.
  • D
    Its direction depends on the magnitude of the magnetic moment ( $\overrightarrow{M}$ ) of the magnet.

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The effect due to a uniform magnetic field on a freely suspended magnetic needle is as follows:

$A$ short bar magnet placed with its axis at $30^{\circ}$ to a uniform external magnetic field of $0.5 \ T$ experiences a torque of magnitude equal to $4.5 \times 10^{-2} \ J$. The magnitude of the magnetic moment is . . . . . . .

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