In a vibration magnetometer,the time period of a bar magnet oscillating in the horizontal component of the Earth's magnetic field is $2 \ s$. When a magnet is brought near and parallel to it,the time period reduces to $1 \ s$. The ratio $H/F$ of the horizontal component $H$ and the field $F$ due to the magnet will be:

  • A
    $3$
  • B
    $1/3$
  • C
    $\sqrt{3}$
  • D
    $1/\sqrt{3}$

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