At some location on earth the horizontal component of earth's magnetic field is $18 \times 10^{-6} \mathrm{~T}$. At this location, magnetic needle of length 0.12 m and pole strength 1.8 Am is suspended from its mid-point using a thread, it makes $45^{\circ}$ angle with horizontal in equilibrium. To keep this needle horizontal, the vertical force that should be applied at one of its ends is: