Magnetism Question 111

Question: When $ \sqrt{3} $ ampere current is passed in a tangent galvanometer, there is a deflection of 30° in it. The deflection obtained when 3 amperes current is passed, is

[MP PMT 1997]

Options:

A) 30°

B) 45°

C) 60°

D) 75°

Show Answer

Answer:

Correct Answer: B

Solution:

$ i\propto \tan \theta \Rightarrow \frac{i _{1}}{i _{2}}=\frac{\tan {\theta _{1}}}{\tan {\theta _{2}}}\Rightarrow \frac{\sqrt{3}}{3}=\frac{\tan 30^{o}}{\tan {\theta _{2}}}\Rightarrow \theta =45^{o} $