Magnetism Question 116

Question: Two short magnets having magnetic moments in the ratio 27 : 8, when placed on opposite sides of a deflection magnetometer, produce no deflection. If the distance of the weaker magnet is 0.12 m from the centre of deflection magnetometer, the distance of the stronger magnet from the centre is

[EAMCET (Med.) 2000]

Options:

A) 0.06 m

B) 0.08 m

C) 0.12 m

D) 0.18 m

Show Answer

Answer:

Correct Answer: D

Solution:

$ \frac{M _{1}}{M _{2}}={{( \frac{d _{1}}{d _{2}} )}^{3}}\Rightarrow \frac{27}{8}={{( \frac{d _{1}}{0.12} )}^{3}} $
$ \Rightarrow \frac{3}{2}=\frac{d _{1}}{0.12}\Rightarrow 0.18\ m $