Two short bar magnets have their magnetic moments $1.2 \text{ A m}^2$ and $1.0 \text{ A m}^2$. They are placed on a horizontal table parallel to each other at a distance of $20 \text{ cm}$ between their centres,such that their north poles point towards geographic south. They have a common magnetic equatorial line. The horizontal component of the Earth's magnetic field is $3.6 \times 10^{-5} \text{ T}$. The resultant horizontal magnetic induction at the midpoint of the line joining their centers is $\left(\frac{\mu_0}{4 \pi} = 10^{-7} \text{ N/A}^2\right)$.

• A
  $3.6 \times 10^{-5} \text{ T}$
• B
  $1.84 \times 10^{-4} \text{ T}$
• C
  $2.56 \times 10^{-4} \text{ T}$
• D
  $5.8 \times 10^{-5} \text{ T}$