Magnetism Question 63

Question: In two separate experiments the neutral points due to two small magnets are at a distance of r and 2r in broad side-on position. The ratio of their magnetic moments will be

[MP PMT 1985]

Options:

A) 4 : 1

B) 1 : 2

C) 2 : 1

D) 1 : 8

Show Answer

Answer:

Correct Answer: D

Solution:

At broad side-on position $ B=\frac{M}{d^{3}} $
$ \

Therefore ,\frac{M _{1}}{d _{1}^{3}}=\frac{M _{2}}{d _{2}^{3}}or\frac{M _{1}}{r^{3}}=\frac{M _{2}}{8r^{3}}or\frac{M _{1}}{M _{2}}=\frac{r^{3}}{8r^{3}}=\frac{1}{8} $