Answer :

Given,


separation between the magnet and the needle d = 10cm =0.1 m


deflection in the magnetometer in the given position when placed in the magnetic field of a short magnet, θ = 37°


let M be the magnetic moment of the magnet and BH be earth's horizontal magnetic field.


according to magnetometer theory



for short magnet d ≫≫≫ l





deflection in the magnetometer θ =37°


From the magnetometer theory in Tan-B position, we have


-----------------------(1)


l≪≪≪d






d = 0.079370m =7.9370cm


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