Magnetism Question 127
Question: When two magnetic moments are compared using equal distance method the deflections produced are 45o and 30o. If the length of magnets are in the ratio 1 : 2, the ratio of their pole strengths is
[JIPMER 2002]
Options:
A) 3 : 1
B) 3 : 2
C) $ \sqrt{3}:1 $
D) $ 2\sqrt{3}:1 $
Show Answer
Answer:
Correct Answer: D
Solution:
$ \frac{M _{1}}{M _{2}}=\frac{\tan {\theta _{1}}}{\tan {\theta _{2}}}\Rightarrow \frac{m _{1}L _{1}}{m _{2}L _{2}}=\frac{\tan {\theta _{1}}}{\tan {\theta _{2}}} $
$ \Rightarrow \frac{m _{1}}{m _{2}}=\frac{2}{1}\times \frac{\tan 45{}^\circ }{\tan 30{}^\circ }=\frac{2\sqrt{3}}{1} $