Magnetism Question 170

Question: Points A and B are situated perpendicular to the axis of a 2cm long bar magnet at large distances X and 3X from its centre on opposite sides. The ratio of the magnetic fields at A and B will be approximately equal to

[CPMT 1988]

Options:

A) 1 : 9

B) 2 : 9

C) 27 : 1

D) 9 : 1

Show Answer

Answer:

Correct Answer: C

Solution:

$ B\propto \frac{1}{x^{3}}\Rightarrow \frac{B _{1}}{B _{2}}={{( \frac{x _{2}}{x _{1}} )}^{3}}={{( \frac{3x}{x} )}^{3}}=\frac{27}{1} $