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Two short bar magnets of length \( 1 \mathrm{~cm} \) each have magnetic moments \( 1.20 \mathrm{Am}^{2} \) and \( 1.00 \mathrm{Am}^{2} \),
\( \mathrm{P} \) respectively. They are placed on a horizontal table parallel to each other with their \( \mathrm{N} \) poles pointing
W towards the South. They have a common magnetic equator and are separated by a distance of \( 20.0 \mathrm{~cm} \). The value of the resultant horizontal magnetic induction at the mid-point \( \mathrm{O} \) of the line joining their centres is close to (Horizontal component of the earth's magnetic induction is \( \left(3.6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}\right) \)
(1) \( 3.6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2} \)
(2) \( 2.56 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2} \)
(3) \( 3.50 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2} \)
(4) \( 5.80 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2} \)
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